Non-stationary response of nonlinear systems with singular parameter matrices subject to combined deterministic and stochastic excitation
A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined deterministic and non-stationary stochastic excitation. Singular matrices in the governing equations of motion potentially account for the presen...
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| Published in | Mechanical systems and signal processing Vol. 188; p. 110009 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0888-3270 |
| DOI | 10.1016/j.ymssp.2022.110009 |
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| Abstract | A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined deterministic and non-stationary stochastic excitation. Singular matrices in the governing equations of motion potentially account for the presence of constraints equations in the system. Further, they also appear when a redundant coordinates modeling is adopted to derive the equations of motion of complex multi-body systems. In this regard, the system response is decomposed into a deterministic and a stochastic component corresponding to the two components of the excitation. Then, two sets of differential equations are formulated and solved simultaneously to compute the system response. The first set pertains to the deterministic response component, whereas the second one pertains to the stochastic component of the response. The latter is derived by utilizing the generalized statistical linearization method for systems with singular matrices, while a formula for determining the time-dependent equivalent elements of the generalized statistical linearization methodology is also derived. The efficiency of the proposed technique is demonstrated by pertinent numerical examples. Specifically, a vibration energy harvesting device subject to combined deterministic and modulated white noise excitation and a structural nonlinear system with singular parameter matrices subject to combined deterministic and modulated white and colored noise excitations are considered.
•Response determination of nonlinear MDOF systems with singular parameter matrices.•Linearization of systems with singular matrices subject to combined excitations.•Time-dependent equivalent linear elements for systems with singular matrices.•Moore–Penrose-based solution of coupled sets of electro-mechanical equations. |
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| AbstractList | A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined deterministic and non-stationary stochastic excitation. Singular matrices in the governing equations of motion potentially account for the presence of constraints equations in the system. Further, they also appear when a redundant coordinates modeling is adopted to derive the equations of motion of complex multi-body systems. In this regard, the system response is decomposed into a deterministic and a stochastic component corresponding to the two components of the excitation. Then, two sets of differential equations are formulated and solved simultaneously to compute the system response. The first set pertains to the deterministic response component, whereas the second one pertains to the stochastic component of the response. The latter is derived by utilizing the generalized statistical linearization method for systems with singular matrices, while a formula for determining the time-dependent equivalent elements of the generalized statistical linearization methodology is also derived. The efficiency of the proposed technique is demonstrated by pertinent numerical examples. Specifically, a vibration energy harvesting device subject to combined deterministic and modulated white noise excitation and a structural nonlinear system with singular parameter matrices subject to combined deterministic and modulated white and colored noise excitations are considered.
•Response determination of nonlinear MDOF systems with singular parameter matrices.•Linearization of systems with singular matrices subject to combined excitations.•Time-dependent equivalent linear elements for systems with singular matrices.•Moore–Penrose-based solution of coupled sets of electro-mechanical equations. |
| ArticleNumber | 110009 |
| Author | Kong, F. Beer, M. Ni, P. Fragkoulis, V.C. Mitseas, I.P. |
| Author_xml | – sequence: 1 givenname: P. orcidid: 0000-0002-3559-6989 surname: Ni fullname: Ni, P. email: peihua.ni@irz.uni-hannover.de organization: Institute for Risk and Reliability, Leibniz Universität Hannover, Callinstr. 34, Hannover 30167, Germany – sequence: 2 givenname: V.C. orcidid: 0000-0001-9925-9167 surname: Fragkoulis fullname: Fragkoulis, V.C. email: fragkoulis@irz.uni-hannover.de organization: Institute for Risk and Reliability, Leibniz Universität Hannover, Callinstr. 34, Hannover 30167, Germany – sequence: 3 givenname: F. orcidid: 0000-0002-9036-7273 surname: Kong fullname: Kong, F. email: kongfan@hfut.edu.cn organization: College of Civil Engineering, Hefei University of Technology, 193 Tunxi Road, Hefei 230009, China – sequence: 4 givenname: I.P. surname: Mitseas fullname: Mitseas, I.P. email: I.Mitseas@leeds.ac.uk organization: School of Civil Engineering, University of Leeds, Leeds LS2 9JT, UK – sequence: 5 givenname: M. orcidid: 0000-0002-0611-0345 surname: Beer fullname: Beer, M. email: beer@irz.uni-hannover.de organization: Institute for Risk and Reliability, Leibniz Universität Hannover, Callinstr. 34, Hannover 30167, Germany |
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| Cites_doi | 10.1115/1.4026278 10.1016/0022-460X(91)90653-2 10.1016/j.probengmech.2020.103043 10.1088/0964-1726/18/11/115005 10.1016/j.ymssp.2017.10.031 10.1016/j.ymssp.2021.108420 10.1016/j.ymssp.2021.108672 10.1016/j.ymssp.2021.107896 10.1061/(ASCE)EM.1943-7889.0001000 10.1016/j.ijnonlinmec.2019.103378 10.1061/(ASCE)0733-9399(2007)133:6(616) 10.1016/j.probengmech.2018.06.004 10.1007/s11071-021-07014-w 10.1016/S0141-1187(86)80025-6 10.1006/jsvi.2000.3329 10.1016/j.cnsns.2022.106392 10.1177/1045389X17711788 10.1061/(ASCE)EM.1943-7889.0001119 10.1115/1.4029993 10.1016/j.probengmech.2014.05.001 10.1016/j.probengmech.2012.02.004 10.1098/rsta.2012.0433 10.1177/1045389X20930093 10.1115/1.4044087 10.1016/j.apm.2016.10.025 10.1016/j.probengmech.2020.103028 10.1016/j.jsv.2017.05.038 10.1016/j.ymssp.2021.108701 10.1016/j.ijnonlinmec.2022.104192 10.1007/s11012-015-0289-7 10.1061/(ASCE)EM.1943-7889.0002081 10.1016/j.probengmech.2015.06.002 10.1016/j.ymssp.2020.107203 10.1016/j.jsv.2018.07.013 10.1109/TIM.2017.2649998 10.1016/S0022-460X(03)00264-5 10.1007/s11012-019-00963-y 10.1061/(ASCE)EM.1943-7889.0001937 10.1061/AJRUA6.0001167 10.1016/j.probengmech.2020.103044 |
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| Keywords | Stochastic dynamics Statistical linearization Energy harvester Moore–Penrose matrix inverse Combined excitation |
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| References | Han, Fragkoulis, Kong, Beer, Peng (b19) 2022 Ando, Baglio, Marletta, Pistorio, Bulsara (b1) 2017; 66 Kong, Han, Zhang (b17) 2022; 107 He, Daqaq (b45) 2016; 51 Adhikari, Friswell, Inman (b24) 2009; 18 Spanos, Zhang, Kong (b10) 2019; 86 Fragkoulis, Kougioumtzoglou, Pantelous, Beer (b34) 2022; 148 Quaranta, Trentadue, Maruccio, Marano (b42) 2018; 104 Namachchivaya (b4) 1991; 151 Liang, Chaudhuri, Shinozuka (b46) 2007; 133 Chai, Naess, Leira (b39) 2015; 41 Pasparakis, Kougioumtzoglou, Fragkoulis, Kong, Beer (b33) 2022; 169 Kong, Zhang, Zhang, Chao, He (b12) 2022; 110 Huang, Han, Zhou, Han, Yang, Yurchenko (b3) 2022; 168 Campbell, Meyer (b26) 2009 Psaros, Brudastova, Malara, Kougioumtzoglou (b40) 2018; 433 Kougioumtzoglou, Fragkoulis, Pantelous, Pirrotta (b29) 2017; 404 Udwadia, Phohomsiri (b36) 2006; 462 Zhu, Wu (b5) 2004; 271 Chen (b37) 1998 Kong, Spanos (b11) 2021 Adhikari (b25) 2013 Di Paola, Failla, Pirrotta, Sofi, Zingales (b16) 2013; 371 Petromichelakis, Psaros, Kougioumtzoglou (b23) 2020; 60 Pirrotta, Kougioumtzoglou, Di Matteo, Fragkoulis, Pantelous, Adam (b22) 2021 Daqaq, Masana, Erturk, Dane Quinn (b43) 2014; 66 Anh, Zakovorotny, Hao (b15) 2014; 37 Fragkoulis, Kougioumtzoglou, Pantelous (b28) 2016; 142 Haiwu, Wei, Guang, Tong (b13) 2001; 242 Karageorgos, Moysis, Fragkoulis, Kougioumtzoglou, Pantelous (b31) 2021; 161 Roccia, Verstraete, Ceballos, Balachandran, Preidikman (b41) 2020; 31 Zhang, Spanos (b9) 2020; 60 Antoniou, Pantelous, Kougioumtzoglou, Pirrotta (b30) 2017; 42 Spanos, Malara (b6) 2020; 59 Spanos (b38) 1986; 8 Anh, Hieu (b14) 2012; 30 Roberts, Spanos (b35) 2003 Kong, Han, Li, He (b18) 2022; 166 Pirrotta, Kougioumtzoglou, Pantelous (b21) 2019; 54 Fragkoulis, Kougioumtzoglou, Pantelous (b27) 2016; 142 Petromichelakis, Psaros, Kougioumtzoglou (b44) 2018; 53 Dai, Harne (b2) 2018; 29 Zhang, Spanos (b7) 2020; 120 Zhu, Guo (b8) 2015; 137 Ni, Fragkoulis, Kong, Mitseas, Beer (b20) 2021; 7 Pasparakis, Fragkoulis, Beer (b32) 2021; 149 Zhu (10.1016/j.ymssp.2022.110009_b5) 2004; 271 Adhikari (10.1016/j.ymssp.2022.110009_b24) 2009; 18 Petromichelakis (10.1016/j.ymssp.2022.110009_b44) 2018; 53 He (10.1016/j.ymssp.2022.110009_b45) 2016; 51 Pirrotta (10.1016/j.ymssp.2022.110009_b22) 2021 Spanos (10.1016/j.ymssp.2022.110009_b10) 2019; 86 Ando (10.1016/j.ymssp.2022.110009_b1) 2017; 66 Adhikari (10.1016/j.ymssp.2022.110009_b25) 2013 Roberts (10.1016/j.ymssp.2022.110009_b35) 2003 Ni (10.1016/j.ymssp.2022.110009_b20) 2021; 7 Fragkoulis (10.1016/j.ymssp.2022.110009_b28) 2016; 142 Dai (10.1016/j.ymssp.2022.110009_b2) 2018; 29 Anh (10.1016/j.ymssp.2022.110009_b14) 2012; 30 Han (10.1016/j.ymssp.2022.110009_b19) 2022 Antoniou (10.1016/j.ymssp.2022.110009_b30) 2017; 42 Kougioumtzoglou (10.1016/j.ymssp.2022.110009_b29) 2017; 404 Karageorgos (10.1016/j.ymssp.2022.110009_b31) 2021; 161 Huang (10.1016/j.ymssp.2022.110009_b3) 2022; 168 Psaros (10.1016/j.ymssp.2022.110009_b40) 2018; 433 Zhu (10.1016/j.ymssp.2022.110009_b8) 2015; 137 Zhang (10.1016/j.ymssp.2022.110009_b7) 2020; 120 Anh (10.1016/j.ymssp.2022.110009_b15) 2014; 37 Fragkoulis (10.1016/j.ymssp.2022.110009_b27) 2016; 142 Chen (10.1016/j.ymssp.2022.110009_b37) 1998 Roccia (10.1016/j.ymssp.2022.110009_b41) 2020; 31 Haiwu (10.1016/j.ymssp.2022.110009_b13) 2001; 242 Spanos (10.1016/j.ymssp.2022.110009_b6) 2020; 59 Di Paola (10.1016/j.ymssp.2022.110009_b16) 2013; 371 Zhang (10.1016/j.ymssp.2022.110009_b9) 2020; 60 Pirrotta (10.1016/j.ymssp.2022.110009_b21) 2019; 54 Liang (10.1016/j.ymssp.2022.110009_b46) 2007; 133 Spanos (10.1016/j.ymssp.2022.110009_b38) 1986; 8 Pasparakis (10.1016/j.ymssp.2022.110009_b33) 2022; 169 Pasparakis (10.1016/j.ymssp.2022.110009_b32) 2021; 149 Chai (10.1016/j.ymssp.2022.110009_b39) 2015; 41 Namachchivaya (10.1016/j.ymssp.2022.110009_b4) 1991; 151 Fragkoulis (10.1016/j.ymssp.2022.110009_b34) 2022; 148 Udwadia (10.1016/j.ymssp.2022.110009_b36) 2006; 462 Daqaq (10.1016/j.ymssp.2022.110009_b43) 2014; 66 Quaranta (10.1016/j.ymssp.2022.110009_b42) 2018; 104 Petromichelakis (10.1016/j.ymssp.2022.110009_b23) 2020; 60 Campbell (10.1016/j.ymssp.2022.110009_b26) 2009 Kong (10.1016/j.ymssp.2022.110009_b11) 2021 Kong (10.1016/j.ymssp.2022.110009_b17) 2022; 107 Kong (10.1016/j.ymssp.2022.110009_b12) 2022; 110 Kong (10.1016/j.ymssp.2022.110009_b18) 2022; 166 |
| References_xml | – volume: 7 start-page: 04021049 year: 2021 ident: b20 article-title: Response determination of nonlinear systems with singular matrices subject to combined stochastic and deterministic excitations publication-title: ASCE-ASME J. Risk Uncertain. Eng. Syst. A – year: 1998 ident: b37 article-title: Linear System Theory and Design – volume: 271 start-page: 83 year: 2004 end-page: 101 ident: b5 article-title: Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations publication-title: J. Sound Vib. – volume: 66 start-page: 992 year: 2017 end-page: 1001 ident: b1 article-title: Performance investigation of a nonlinear energy harvester with random vibrations and subthreshold deterministic signals publication-title: IEEE Trans. Instrum. Meas. – volume: 60 year: 2020 ident: b9 article-title: A linearization scheme for vibrations due to combined deterministic and stochastic loads publication-title: Probab. Eng. Mech. – volume: 41 start-page: 104 year: 2015 end-page: 114 ident: b39 article-title: Filter models for prediction of stochastic ship roll response publication-title: Probab. Eng. Mech. – volume: 51 start-page: 1027 year: 2016 end-page: 1039 ident: b45 article-title: Electric load optimization of a nonlinear mono-stable duffing harvester excited by white noise publication-title: Meccanica – volume: 18 year: 2009 ident: b24 article-title: Piezoelectric energy harvesting from broadband random vibrations publication-title: Smart Mater. Struct. – volume: 149 year: 2021 ident: b32 article-title: Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices publication-title: Mech. Syst. Signal Process. – volume: 168 year: 2022 ident: b3 article-title: Stochastic and deterministic responses of an asymmetric quad-stable energy harvester publication-title: Mech. Syst. Signal Process. – year: 2009 ident: b26 article-title: Generalized Inverses of Linear Transformations – volume: 142 year: 2016 ident: b27 article-title: Linear random vibration of structural systems with singular matrices publication-title: J. Eng. Mech. – volume: 60 year: 2020 ident: b23 article-title: Stochastic response determination of nonlinear structural systems with singular diffusion matrices: A Wiener path integral variational formulation with constraints publication-title: Probab. Eng. Mech. – volume: 37 start-page: 51 year: 2014 end-page: 59 ident: b15 article-title: Response analysis of Van der Pol oscillator subjected to harmonic and random excitations publication-title: Probab. Eng. Mech. – volume: 142 year: 2016 ident: b28 article-title: Statistical linearization of nonlinear structural systems with singular matrices publication-title: J. Eng. Mech. – volume: 133 start-page: 616 year: 2007 end-page: 627 ident: b46 article-title: Simulation of nonstationary stochastic processes by spectral representation publication-title: J. Eng. Mech. – volume: 86 year: 2019 ident: b10 article-title: Formulation of statistical linearization for MDOF systems subject to combined periodic and stochastic excitations publication-title: J. Appl. Mech. – volume: 242 start-page: 362 year: 2001 end-page: 368 ident: b13 article-title: Response of a Duffing oscillator to combined deterministic harmonic and random excitation publication-title: J. Sound Vib. – volume: 371 year: 2013 ident: b16 article-title: The mechanically based non-local elasticity: an overview of main results and future challenges publication-title: Phil. Trans. R. Soc. A – year: 2003 ident: b35 article-title: Random Vibration and Statistical Linearization – volume: 169 year: 2022 ident: b33 article-title: Excitation–response relationships for linear structural systems with singular parameter matrices: A periodized harmonic wavelet perspective publication-title: Mech. Syst. Signal Process. – volume: 151 start-page: 77 year: 1991 end-page: 90 ident: b4 article-title: Almost sure stability of dynamical systems under combined harmonic and stochastic excitations publication-title: J. Sound Vib. – start-page: 1 year: 2021 end-page: 12 ident: b11 article-title: Stochastic response of hysteresis system under combined periodic and stochastic excitation via the statistical linearization method publication-title: J. Appl. Mech. – volume: 148 year: 2022 ident: b34 article-title: Joint statistics of natural frequencies corresponding to structural systems with singular random parameter matrices publication-title: J. Eng. Mech. – volume: 104 start-page: 134 year: 2018 end-page: 144 ident: b42 article-title: Analysis of piezoelectric energy harvester under modulated and filtered white Gaussian noise publication-title: Mech. Syst. Signal Process. – volume: 59 year: 2020 ident: b6 article-title: Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations publication-title: Probab. Eng. Mech. – volume: 120 year: 2020 ident: b7 article-title: Efficient response determination of a MDOF gear model subject to combined periodic and stochastic excitations publication-title: Int. J. Non-Linear Mech. – volume: 29 start-page: 514 year: 2018 end-page: 529 ident: b2 article-title: Investigation of direct current power delivery from nonlinear vibration energy harvesters under combined harmonic and stochastic excitations publication-title: J. Intell. Mater. Syst. Struct. – year: 2021 ident: b22 article-title: Deterministic and random vibration of linear systems with singular parameter matrices and fractional derivative terms publication-title: J. Eng. Mech. – year: 2013 ident: b25 article-title: Structural Dynamic Analysis with Generalized Damping Models: Analysis – volume: 30 start-page: 27 year: 2012 end-page: 36 ident: b14 article-title: The Duffing oscillator under combined periodic and random excitations publication-title: Probab. Eng. Mech. – year: 2022 ident: b19 article-title: Non-stationary response determination of nonlinear systems subjected to combined deterministic and evolutionary stochastic excitations publication-title: Int. J. Non-Linear Mech. – volume: 161 year: 2021 ident: b31 article-title: Random vibration of linear systems with singular matrices based on Kronecker canonical forms of matrix pencils publication-title: Mech. Syst. Signal Process. – volume: 462 start-page: 2097 year: 2006 end-page: 2117 ident: b36 article-title: Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics publication-title: Proc. R. Soc. A Math. Phys. Eng. Sci. – volume: 31 start-page: 1578 year: 2020 end-page: 1593 ident: b41 article-title: Computational study on aerodynamically coupled piezoelectric harvesters publication-title: J. Intell. Mater. Syst. Struct. – volume: 137 year: 2015 ident: b8 article-title: Periodic response of a Duffing oscillator under combined harmonic and random excitations publication-title: J. Vib. Acoust. – volume: 66 year: 2014 ident: b43 article-title: On the role of nonlinearities in vibratory energy harvesting: a critical review and discussion publication-title: Appl. Mech. Rev. – volume: 166 year: 2022 ident: b18 article-title: Non-stationary approximate response of non-linear multi-degree-of-freedom systems subjected to combined periodic and stochastic excitation publication-title: Mech. Syst. Signal Process. – volume: 107 start-page: 375 year: 2022 end-page: 390 ident: b17 article-title: Approximate stochastic response of hysteretic system with fractional element and subjected to combined stochastic and periodic excitation publication-title: Nonlinear Dynam. – volume: 53 start-page: 116 year: 2018 end-page: 125 ident: b44 article-title: Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach publication-title: Probab. Eng. Mech. – volume: 110 year: 2022 ident: b12 article-title: Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 54 start-page: 1421 year: 2019 end-page: 1431 ident: b21 article-title: Stochastic response determination of structural systems modeled via dependent coordinates: a frequency domain treatment based on generalized modal analysis publication-title: Meccanica – volume: 404 start-page: 84 year: 2017 end-page: 101 ident: b29 article-title: Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach publication-title: J. Sound Vib. – volume: 433 start-page: 314 year: 2018 end-page: 333 ident: b40 article-title: Wiener path integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation publication-title: J. Sound Vib. – volume: 42 start-page: 423 year: 2017 end-page: 440 ident: b30 article-title: Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach publication-title: Appl. Math. Model. – volume: 8 start-page: 2 year: 1986 end-page: 7 ident: b38 article-title: Filter approaches to wave kinematics approximation publication-title: Appl. Ocean Res. – volume: 66 issue: 4 year: 2014 ident: 10.1016/j.ymssp.2022.110009_b43 article-title: On the role of nonlinearities in vibratory energy harvesting: a critical review and discussion publication-title: Appl. Mech. Rev. doi: 10.1115/1.4026278 – volume: 151 start-page: 77 issue: 1 year: 1991 ident: 10.1016/j.ymssp.2022.110009_b4 article-title: Almost sure stability of dynamical systems under combined harmonic and stochastic excitations publication-title: J. Sound Vib. doi: 10.1016/0022-460X(91)90653-2 – volume: 59 year: 2020 ident: 10.1016/j.ymssp.2022.110009_b6 article-title: Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2020.103043 – volume: 18 issue: 11 year: 2009 ident: 10.1016/j.ymssp.2022.110009_b24 article-title: Piezoelectric energy harvesting from broadband random vibrations publication-title: Smart Mater. Struct. doi: 10.1088/0964-1726/18/11/115005 – volume: 104 start-page: 134 year: 2018 ident: 10.1016/j.ymssp.2022.110009_b42 article-title: Analysis of piezoelectric energy harvester under modulated and filtered white Gaussian noise publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2017.10.031 – volume: 166 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b18 article-title: Non-stationary approximate response of non-linear multi-degree-of-freedom systems subjected to combined periodic and stochastic excitation publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2021.108420 – volume: 168 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b3 article-title: Stochastic and deterministic responses of an asymmetric quad-stable energy harvester publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2021.108672 – volume: 161 year: 2021 ident: 10.1016/j.ymssp.2022.110009_b31 article-title: Random vibration of linear systems with singular matrices based on Kronecker canonical forms of matrix pencils publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2021.107896 – volume: 142 issue: 2 year: 2016 ident: 10.1016/j.ymssp.2022.110009_b27 article-title: Linear random vibration of structural systems with singular matrices publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)EM.1943-7889.0001000 – volume: 120 year: 2020 ident: 10.1016/j.ymssp.2022.110009_b7 article-title: Efficient response determination of a MDOF gear model subject to combined periodic and stochastic excitations publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2019.103378 – volume: 133 start-page: 616 issue: 6 year: 2007 ident: 10.1016/j.ymssp.2022.110009_b46 article-title: Simulation of nonstationary stochastic processes by spectral representation publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)0733-9399(2007)133:6(616) – start-page: 1 year: 2021 ident: 10.1016/j.ymssp.2022.110009_b11 article-title: Stochastic response of hysteresis system under combined periodic and stochastic excitation via the statistical linearization method publication-title: J. Appl. Mech. – volume: 53 start-page: 116 year: 2018 ident: 10.1016/j.ymssp.2022.110009_b44 article-title: Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2018.06.004 – volume: 107 start-page: 375 issue: 1 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b17 article-title: Approximate stochastic response of hysteretic system with fractional element and subjected to combined stochastic and periodic excitation publication-title: Nonlinear Dynam. doi: 10.1007/s11071-021-07014-w – volume: 8 start-page: 2 issue: 1 year: 1986 ident: 10.1016/j.ymssp.2022.110009_b38 article-title: Filter approaches to wave kinematics approximation publication-title: Appl. Ocean Res. doi: 10.1016/S0141-1187(86)80025-6 – volume: 242 start-page: 362 issue: 2 year: 2001 ident: 10.1016/j.ymssp.2022.110009_b13 article-title: Response of a Duffing oscillator to combined deterministic harmonic and random excitation publication-title: J. Sound Vib. doi: 10.1006/jsvi.2000.3329 – year: 2003 ident: 10.1016/j.ymssp.2022.110009_b35 – volume: 110 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b12 article-title: Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2022.106392 – volume: 29 start-page: 514 issue: 4 year: 2018 ident: 10.1016/j.ymssp.2022.110009_b2 article-title: Investigation of direct current power delivery from nonlinear vibration energy harvesters under combined harmonic and stochastic excitations publication-title: J. Intell. Mater. Syst. Struct. doi: 10.1177/1045389X17711788 – volume: 142 issue: 9 year: 2016 ident: 10.1016/j.ymssp.2022.110009_b28 article-title: Statistical linearization of nonlinear structural systems with singular matrices publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)EM.1943-7889.0001119 – volume: 137 issue: 4 year: 2015 ident: 10.1016/j.ymssp.2022.110009_b8 article-title: Periodic response of a Duffing oscillator under combined harmonic and random excitations publication-title: J. Vib. Acoust. doi: 10.1115/1.4029993 – volume: 37 start-page: 51 year: 2014 ident: 10.1016/j.ymssp.2022.110009_b15 article-title: Response analysis of Van der Pol oscillator subjected to harmonic and random excitations publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2014.05.001 – year: 1998 ident: 10.1016/j.ymssp.2022.110009_b37 – volume: 30 start-page: 27 year: 2012 ident: 10.1016/j.ymssp.2022.110009_b14 article-title: The Duffing oscillator under combined periodic and random excitations publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2012.02.004 – volume: 371 issue: 1993 year: 2013 ident: 10.1016/j.ymssp.2022.110009_b16 article-title: The mechanically based non-local elasticity: an overview of main results and future challenges publication-title: Phil. Trans. R. Soc. A doi: 10.1098/rsta.2012.0433 – volume: 31 start-page: 1578 issue: 13 year: 2020 ident: 10.1016/j.ymssp.2022.110009_b41 article-title: Computational study on aerodynamically coupled piezoelectric harvesters publication-title: J. Intell. Mater. Syst. Struct. doi: 10.1177/1045389X20930093 – volume: 86 issue: 10 year: 2019 ident: 10.1016/j.ymssp.2022.110009_b10 article-title: Formulation of statistical linearization for MDOF systems subject to combined periodic and stochastic excitations publication-title: J. Appl. Mech. doi: 10.1115/1.4044087 – volume: 42 start-page: 423 year: 2017 ident: 10.1016/j.ymssp.2022.110009_b30 article-title: Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2016.10.025 – year: 2013 ident: 10.1016/j.ymssp.2022.110009_b25 – volume: 60 year: 2020 ident: 10.1016/j.ymssp.2022.110009_b9 article-title: A linearization scheme for vibrations due to combined deterministic and stochastic loads publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2020.103028 – volume: 404 start-page: 84 year: 2017 ident: 10.1016/j.ymssp.2022.110009_b29 article-title: Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2017.05.038 – volume: 169 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b33 article-title: Excitation–response relationships for linear structural systems with singular parameter matrices: A periodized harmonic wavelet perspective publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2021.108701 – year: 2022 ident: 10.1016/j.ymssp.2022.110009_b19 article-title: Non-stationary response determination of nonlinear systems subjected to combined deterministic and evolutionary stochastic excitations publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2022.104192 – volume: 51 start-page: 1027 issue: 5 year: 2016 ident: 10.1016/j.ymssp.2022.110009_b45 article-title: Electric load optimization of a nonlinear mono-stable duffing harvester excited by white noise publication-title: Meccanica doi: 10.1007/s11012-015-0289-7 – volume: 148 issue: 3 year: 2022 ident: 10.1016/j.ymssp.2022.110009_b34 article-title: Joint statistics of natural frequencies corresponding to structural systems with singular random parameter matrices publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)EM.1943-7889.0002081 – volume: 41 start-page: 104 year: 2015 ident: 10.1016/j.ymssp.2022.110009_b39 article-title: Filter models for prediction of stochastic ship roll response publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2015.06.002 – volume: 149 year: 2021 ident: 10.1016/j.ymssp.2022.110009_b32 article-title: Harmonic wavelets based response evolutionary power spectrum determination of linear and nonlinear structural systems with singular matrices publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2020.107203 – volume: 433 start-page: 314 year: 2018 ident: 10.1016/j.ymssp.2022.110009_b40 article-title: Wiener path integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2018.07.013 – volume: 66 start-page: 992 issue: 5 year: 2017 ident: 10.1016/j.ymssp.2022.110009_b1 article-title: Performance investigation of a nonlinear energy harvester with random vibrations and subthreshold deterministic signals publication-title: IEEE Trans. Instrum. Meas. doi: 10.1109/TIM.2017.2649998 – volume: 462 start-page: 2097 issue: 2071 year: 2006 ident: 10.1016/j.ymssp.2022.110009_b36 article-title: Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics publication-title: Proc. R. Soc. A Math. Phys. Eng. Sci. – volume: 271 start-page: 83 issue: 1–2 year: 2004 ident: 10.1016/j.ymssp.2022.110009_b5 article-title: Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations publication-title: J. Sound Vib. doi: 10.1016/S0022-460X(03)00264-5 – volume: 54 start-page: 1421 issue: 9 year: 2019 ident: 10.1016/j.ymssp.2022.110009_b21 article-title: Stochastic response determination of structural systems modeled via dependent coordinates: a frequency domain treatment based on generalized modal analysis publication-title: Meccanica doi: 10.1007/s11012-019-00963-y – year: 2021 ident: 10.1016/j.ymssp.2022.110009_b22 article-title: Deterministic and random vibration of linear systems with singular parameter matrices and fractional derivative terms publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)EM.1943-7889.0001937 – volume: 7 start-page: 04021049 issue: 4 year: 2021 ident: 10.1016/j.ymssp.2022.110009_b20 article-title: Response determination of nonlinear systems with singular matrices subject to combined stochastic and deterministic excitations publication-title: ASCE-ASME J. Risk Uncertain. Eng. Syst. A doi: 10.1061/AJRUA6.0001167 – year: 2009 ident: 10.1016/j.ymssp.2022.110009_b26 – volume: 60 year: 2020 ident: 10.1016/j.ymssp.2022.110009_b23 article-title: Stochastic response determination of nonlinear structural systems with singular diffusion matrices: A Wiener path integral variational formulation with constraints publication-title: Probab. Eng. Mech. doi: 10.1016/j.probengmech.2020.103044 |
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