Numerical verification of post-critical Beck's column behavior
The paper presents a different approach in studying the structural behavior for a perfectly elastic, uniform, cantilever column subject to combinations of dead and follower forces applied at the tip end. The static and dynamic responses are simulated using the explicit finite element program LS-DYNA...
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| Published in | International journal of non-linear mechanics Vol. 45; no. 3; pp. 242 - 255 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7462 1878-5638 |
| DOI | 10.1016/j.ijnonlinmec.2009.11.007 |
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| Abstract | The paper presents a different approach in studying the structural behavior for a perfectly elastic, uniform, cantilever column subject to combinations of dead and follower forces applied at the tip end. The static and dynamic responses are simulated using the explicit finite element program LS-DYNA. All possible geometric non-linearities are included in the numerical analysis. The paper presents FE model development, its verification, and several numerical tests showing continuous response of the column under different loading scenarios. The post-critical behavior identifying the divergence, flutter, and flutter-jump is presented and compared with the well-known stability map based on double eigencurves. The stability for a subtangential parameter close to
1
2
, restabilization under follower forces is also investigated, and a new interpretation of the regions in the stability map is proposed. |
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| AbstractList | The paper presents a different approach in studying the structural behavior for a perfectly elastic, uniform, cantilever column subject to combinations of dead and follower forces applied at the tip end. The static and dynamic responses are simulated using the explicit finite element program LS-DYNA. All possible geometric non-linearities are included in the numerical analysis. The paper presents FE model development, its verification, and several numerical tests showing continuous response of the column under different loading scenarios. The post-critical behavior identifying the divergence, flutter, and flutter-jump is presented and compared with the well-known stability map based on double eigencurves. The stability for a subtangential parameter close to [Display omitted], restabilization under follower forces is also investigated, and a new interpretation of the regions in the stability map is proposed. The paper presents a different approach in studying the structural behavior for a perfectly elastic, uniform, cantilever column subject to combinations of dead and follower forces applied at the tip end. The static and dynamic responses are simulated using the explicit finite element program LS-DYNA. All possible geometric non-linearities are included in the numerical analysis. The paper presents FE model development, its verification, and several numerical tests showing continuous response of the column under different loading scenarios. The post-critical behavior identifying the divergence, flutter, and flutter-jump is presented and compared with the well-known stability map based on double eigencurves. The stability for a subtangential parameter close to 1 2 , restabilization under follower forces is also investigated, and a new interpretation of the regions in the stability map is proposed. |
| Author | Kwasniewski, Leslaw |
| Author_xml | – sequence: 1 givenname: Leslaw surname: Kwasniewski fullname: Kwasniewski, Leslaw email: l.kwasniewski@il.pw.edu.pl organization: Warsaw University of Technology, Al. Armii Ludowej 16, 00-637 Warszawa, Poland |
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| Cites_doi | 10.1006/jsvi.2002.5003 10.1016/S0020-7683(96)00115-1 10.1016/j.ijnonlinmec.2006.11.011 10.1016/j.ijnonlinmec.2006.10.019 10.1016/0045-7825(94)00756-D 10.1016/S0045-7949(99)00051-6 10.1115/1.3098924 10.1006/jsvi.1995.0600 10.1016/j.jsv.2007.06.017 10.1006/jsvi.2000.3137 10.1006/jsvi.1999.2969 10.1016/0020-7683(69)90082-1 10.1115/1.1849170 10.1016/S0020-7462(00)00102-5 10.1016/S0045-7949(99)00050-4 10.1007/BF02008828 10.1006/jsvi.1996.0383 10.1006/jsvi.1998.2290 10.1016/0022-460X(90)90548-E 10.1016/0022-460X(88)90425-7 10.1016/S0020-7683(03)00298-1 10.1016/j.compstruc.2008.04.012 |
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| Keywords | Follower force Flutter Beck's column Elastic stability Non-conservative elastic problems Finite element |
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| References | Rao, Rao (bib13) 1988; 125 Ziegler (bib11) 1968 M.M. Attard, J.-S. Lee, M-.Y. Kim, Dynamic stability of shear-flexible Beck's columns based on Engesser's and Haringx's buckling theories, Computers and Structures 86 (2008) 2042–2055. Langthjem, Sugiyama (bib24) 2000; 74 Sugiyama, Langthjem, Ryu (bib9) 1999; 225 Bolotin, Zhinzher (bib12) 1969; 5 Koiter (bib6) 1996; 194 J.O. Hallquist, LS-DYNA Theory Manual, Livermore Software Technology Corporation, 2006. Lee, Kim, Kim (bib32) 2007; 306 Andersen, Thomsen (bib17) 2002; 37 Rao, Rao (bib22) 1990; 138 Panovko, Gubanova (bib1) 1965 Bolotin (bib2) 1999; 52 Rao, Rao (bib21) 1987; 120 Vitaliani, Gasparini, Saetta (bib16) 1997; 34 Sugiyama, Katayama, Kiriyama, Ryu (bib14) 2000; 236 Elishakoff (bib7) 2005; 58 Langthjem, Sugiyama (bib10) 2000; 238 Sugiyama, Ryu, Langthjem (bib8) 2002; 254 Bolotin (bib5) 1964 Wolfram (bib29) 1999 Detinko (bib26) 2003; 40 Bolotin (bib4) 1963 Gasparini, Saetta, Vitaliani (bib15) 1995; 124 Katsikadelis, Tsiatas (bib31) 2007; 42 Langthjem, Sugiyama (bib23) 2000; 74 Sugiyama, Langthjem (bib30) 2007; 42 Beck (bib3) 1952; 3 Belitschko, Liu, Moran (bib28) 2001 Tedesco, McDougal, Ross (bib27) 1999 Timoshenko (bib19) 1936 Thomsen (bib20) 1994; 188 Rao (10.1016/j.ijnonlinmec.2009.11.007_bib13) 1988; 125 Timoshenko (10.1016/j.ijnonlinmec.2009.11.007_bib19) 1936 Elishakoff (10.1016/j.ijnonlinmec.2009.11.007_bib7) 2005; 58 Bolotin (10.1016/j.ijnonlinmec.2009.11.007_bib2) 1999; 52 10.1016/j.ijnonlinmec.2009.11.007_bib18 Detinko (10.1016/j.ijnonlinmec.2009.11.007_bib26) 2003; 40 Thomsen (10.1016/j.ijnonlinmec.2009.11.007_bib20) 1994; 188 Bolotin (10.1016/j.ijnonlinmec.2009.11.007_bib12) 1969; 5 Sugiyama (10.1016/j.ijnonlinmec.2009.11.007_bib14) 2000; 236 Katsikadelis (10.1016/j.ijnonlinmec.2009.11.007_bib31) 2007; 42 Sugiyama (10.1016/j.ijnonlinmec.2009.11.007_bib9) 1999; 225 Gasparini (10.1016/j.ijnonlinmec.2009.11.007_bib15) 1995; 124 Beck (10.1016/j.ijnonlinmec.2009.11.007_bib3) 1952; 3 Langthjem (10.1016/j.ijnonlinmec.2009.11.007_bib23) 2000; 74 10.1016/j.ijnonlinmec.2009.11.007_bib25 Panovko (10.1016/j.ijnonlinmec.2009.11.007_bib1) 1965 Bolotin (10.1016/j.ijnonlinmec.2009.11.007_bib4) 1963 Koiter (10.1016/j.ijnonlinmec.2009.11.007_bib6) 1996; 194 Andersen (10.1016/j.ijnonlinmec.2009.11.007_bib17) 2002; 37 Vitaliani (10.1016/j.ijnonlinmec.2009.11.007_bib16) 1997; 34 Tedesco (10.1016/j.ijnonlinmec.2009.11.007_bib27) 1999 Lee (10.1016/j.ijnonlinmec.2009.11.007_bib32) 2007; 306 Rao (10.1016/j.ijnonlinmec.2009.11.007_bib21) 1987; 120 Wolfram (10.1016/j.ijnonlinmec.2009.11.007_bib29) 1999 Ziegler (10.1016/j.ijnonlinmec.2009.11.007_bib11) 1968 Belitschko (10.1016/j.ijnonlinmec.2009.11.007_bib28) 2001 Sugiyama (10.1016/j.ijnonlinmec.2009.11.007_bib8) 2002; 254 Langthjem (10.1016/j.ijnonlinmec.2009.11.007_bib10) 2000; 238 Rao (10.1016/j.ijnonlinmec.2009.11.007_bib22) 1990; 138 Langthjem (10.1016/j.ijnonlinmec.2009.11.007_bib24) 2000; 74 Sugiyama (10.1016/j.ijnonlinmec.2009.11.007_bib30) 2007; 42 Bolotin (10.1016/j.ijnonlinmec.2009.11.007_bib5) 1964 |
| References_xml | – volume: 225 start-page: 779 year: 1999 end-page: 782 ident: bib9 article-title: Realistic follower forces publication-title: Journal of Sound and Vibration – year: 1965 ident: bib1 article-title: Stability and Oscillations of Elastic Systems – reference: M.M. Attard, J.-S. Lee, M-.Y. Kim, Dynamic stability of shear-flexible Beck's columns based on Engesser's and Haringx's buckling theories, Computers and Structures 86 (2008) 2042–2055. – volume: 236 start-page: 193 year: 2000 end-page: 207 ident: bib14 article-title: Experimental verification of dynamic stability of vertical cantilevered columns subjected to a sub-tangential force publication-title: Journal of Sound and Vibration – volume: 254 start-page: 407 year: 2002 end-page: 410 ident: bib8 article-title: Beck's column as the ugly duckling publication-title: Journal of Sound and Vibration – volume: 5 start-page: 965 year: 1969 end-page: 989 ident: bib12 article-title: Effects of damping on stability of elastic systems subjected to nonconservative forces publication-title: International Journal of Solids and Structures – year: 1999 ident: bib29 article-title: The Mathematica Book – volume: 42 start-page: 164 year: 2007 end-page: 171 ident: bib31 article-title: Non-linear dynamic stability of damped Beck's column with variable cross-section publication-title: International Journal of Non-Linear Mechanics – reference: J.O. Hallquist, LS-DYNA Theory Manual, Livermore Software Technology Corporation, 2006. – volume: 40 start-page: 4479 year: 2003 end-page: 4486 ident: bib26 article-title: Lumped damping and stability of Beck column with a tip mass publication-title: International Journal of Solids and Structures – volume: 306 start-page: 766 year: 2007 end-page: 789 ident: bib32 article-title: Sub-tangentially loaded and damped Beck's columns on two-parameter elastic foundation publication-title: Journal of Sound and Vibration – volume: 34 start-page: 2497 year: 1997 end-page: 2516 ident: bib16 article-title: Finite element solution of the stability problem for nonlinear undamped and damped systems under nonconservative loading publication-title: International Journal of Solids and Structures – year: 1999 ident: bib27 article-title: Structural Dynamics Theory and Application – year: 1936 ident: bib19 article-title: Theory of Elastic Stability – volume: 74 start-page: 385 year: 2000 end-page: 398 ident: bib23 article-title: Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part I. The undamped case publication-title: Computers and Structures – volume: 238 start-page: 809 year: 2000 end-page: 851 ident: bib10 article-title: Dynamic stability of columns subjected to follower loads: a survey publication-title: Journal of Sound and Vibration – volume: 120 start-page: 197 year: 1987 end-page: 200 ident: bib21 article-title: Applicability of the static or dynamic criterion for the stability of a cantilever column under a tip-concentrated subtangential follower force publication-title: Journal of Sound and Vibration – volume: 3 start-page: 225 year: 1952 end-page: 228 ident: bib3 article-title: Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes publication-title: Zeitschrift für Angewandte Mathematik und Physik – volume: 188 start-page: 385 year: 1994 end-page: 405 ident: bib20 article-title: Chaotic dynamics of the partially follower-loaded elastic double pendulum publication-title: Journal of Sound and Vibration – year: 2001 ident: bib28 article-title: Nonlinear Finite Elements for Continua and Structures – volume: 124 start-page: 63 year: 1995 end-page: 78 ident: bib15 article-title: On the stability and instability regions of non-conservative continuous system under partially follower forces publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 125 start-page: 181 year: 1988 end-page: 184 ident: bib13 publication-title: Journal of Sound and Vibration – volume: 194 start-page: 636 year: 1996 end-page: 638 ident: bib6 article-title: Unrealistic follower forces publication-title: Journal of Sound and Vibration – volume: 37 start-page: 135 year: 2002 end-page: 151 ident: bib17 article-title: Post-critical behavior of Beck's column with a tip mass publication-title: International Journal of Non-Linear Mechanics – volume: 42 start-page: 132 year: 2007 end-page: 145 ident: bib30 article-title: Physical mechanism of the destabilizing effect of damping in continuous non-conservative dissipative systems publication-title: International Journal of Non-Linear Mechanics – volume: 138 start-page: 341 year: 1990 end-page: 344 ident: bib22 article-title: Stability of a cantilever column under a tip-concentrated subtangential follower force with damping publication-title: Journal of Sound and Vibration – year: 1963 ident: bib4 article-title: Non-Conservative Problems of the Theory of Elastic Stability – year: 1964 ident: bib5 article-title: The Dynamic Stability of Elastic Systems – volume: 74 start-page: 339 year: 2000 end-page: 408 ident: bib24 article-title: Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part II: the damped case publication-title: Computers and Structures – year: 1968 ident: bib11 article-title: Principles of Structural Stability – volume: 58 start-page: 117 year: 2005 end-page: 142 ident: bib7 article-title: Controversy associated with the so-called “Follower Forces”: critical overview publication-title: Applied Mechanics Reviews – volume: 52 start-page: R1 year: 1999 end-page: R9 ident: bib2 article-title: Dynamic instabilities in mechanics of structures publication-title: Applied Mechanics Review – volume: 254 start-page: 407 issue: 2 year: 2002 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib8 article-title: Beck's column as the ugly duckling publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.2002.5003 – volume: 34 start-page: 2497 year: 1997 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib16 article-title: Finite element solution of the stability problem for nonlinear undamped and damped systems under nonconservative loading publication-title: International Journal of Solids and Structures doi: 10.1016/S0020-7683(96)00115-1 – volume: 42 start-page: 132 issue: 1 year: 2007 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib30 article-title: Physical mechanism of the destabilizing effect of damping in continuous non-conservative dissipative systems publication-title: International Journal of Non-Linear Mechanics doi: 10.1016/j.ijnonlinmec.2006.11.011 – volume: 120 start-page: 197 year: 1987 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib21 article-title: Applicability of the static or dynamic criterion for the stability of a cantilever column under a tip-concentrated subtangential follower force publication-title: Journal of Sound and Vibration – volume: 42 start-page: 164 issue: 1 year: 2007 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib31 article-title: Non-linear dynamic stability of damped Beck's column with variable cross-section publication-title: International Journal of Non-Linear Mechanics doi: 10.1016/j.ijnonlinmec.2006.10.019 – volume: 124 start-page: 63 year: 1995 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib15 article-title: On the stability and instability regions of non-conservative continuous system under partially follower forces publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(94)00756-D – volume: 74 start-page: 339 year: 2000 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib24 article-title: Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part II: the damped case publication-title: Computers and Structures doi: 10.1016/S0045-7949(99)00051-6 – volume: 52 start-page: R1 year: 1999 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib2 article-title: Dynamic instabilities in mechanics of structures publication-title: Applied Mechanics Review doi: 10.1115/1.3098924 – volume: 188 start-page: 385 year: 1994 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib20 article-title: Chaotic dynamics of the partially follower-loaded elastic double pendulum publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.1995.0600 – volume: 306 start-page: 766 year: 2007 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib32 article-title: Sub-tangentially loaded and damped Beck's columns on two-parameter elastic foundation publication-title: Journal of Sound and Vibration doi: 10.1016/j.jsv.2007.06.017 – volume: 238 start-page: 809 year: 2000 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib10 article-title: Dynamic stability of columns subjected to follower loads: a survey publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.2000.3137 – ident: 10.1016/j.ijnonlinmec.2009.11.007_bib18 – year: 2001 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib28 – year: 1968 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib11 – volume: 236 start-page: 193 issue: 2 year: 2000 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib14 article-title: Experimental verification of dynamic stability of vertical cantilevered columns subjected to a sub-tangential force publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.1999.2969 – volume: 5 start-page: 965 year: 1969 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib12 article-title: Effects of damping on stability of elastic systems subjected to nonconservative forces publication-title: International Journal of Solids and Structures doi: 10.1016/0020-7683(69)90082-1 – year: 1999 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib29 – volume: 58 start-page: 117 year: 2005 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib7 article-title: Controversy associated with the so-called “Follower Forces”: critical overview publication-title: Applied Mechanics Reviews doi: 10.1115/1.1849170 – volume: 37 start-page: 135 year: 2002 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib17 article-title: Post-critical behavior of Beck's column with a tip mass publication-title: International Journal of Non-Linear Mechanics doi: 10.1016/S0020-7462(00)00102-5 – volume: 74 start-page: 385 year: 2000 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib23 article-title: Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part I. The undamped case publication-title: Computers and Structures doi: 10.1016/S0045-7949(99)00050-4 – volume: 3 start-page: 225 year: 1952 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib3 article-title: Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes publication-title: Zeitschrift für Angewandte Mathematik und Physik doi: 10.1007/BF02008828 – volume: 194 start-page: 636 year: 1996 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib6 article-title: Unrealistic follower forces publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.1996.0383 – year: 1965 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib1 – year: 1964 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib5 – volume: 225 start-page: 779 year: 1999 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib9 article-title: Realistic follower forces publication-title: Journal of Sound and Vibration doi: 10.1006/jsvi.1998.2290 – year: 1999 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib27 – volume: 138 start-page: 341 issue: 2 year: 1990 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib22 article-title: Stability of a cantilever column under a tip-concentrated subtangential follower force with damping publication-title: Journal of Sound and Vibration doi: 10.1016/0022-460X(90)90548-E – volume: 125 start-page: 181 year: 1988 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib13 publication-title: Journal of Sound and Vibration doi: 10.1016/0022-460X(88)90425-7 – volume: 40 start-page: 4479 year: 2003 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib26 article-title: Lumped damping and stability of Beck column with a tip mass publication-title: International Journal of Solids and Structures doi: 10.1016/S0020-7683(03)00298-1 – ident: 10.1016/j.ijnonlinmec.2009.11.007_bib25 doi: 10.1016/j.compstruc.2008.04.012 – year: 1963 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib4 – year: 1936 ident: 10.1016/j.ijnonlinmec.2009.11.007_bib19 |
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| SubjectTerms | Beck's column Columns (structural) Computer simulation Elastic stability Finite element Finite element method Flutter Follower force Mathematical analysis Mathematical models Non-conservative elastic problems Nonlinearity Stability Vibration |
| Title | Numerical verification of post-critical Beck's column behavior |
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