A version of non-smooth transformations for one-dimensional elastic systems with a periodic structure
The method described in [1] of introducing a non-smooth argument by means of special identities is shown to provide an additional means of analysing one-dimensional systems with a periodic structure. A modification of the transformation is constructed which greatly extends the possible applications.
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Published in | Journal of applied mathematics and mechanics Vol. 61; no. 2; pp. 265 - 274 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
1997
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Abstract | The method described in [1] of introducing a non-smooth argument by means of special identities is shown to provide an additional means of analysing one-dimensional systems with a periodic structure. A modification of the transformation is constructed which greatly extends the possible applications. |
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AbstractList | The method described in [1] of introducing a non-smooth argument by means of special identities is shown to provide an additional means of analysing one-dimensional systems with a periodic structure. A modification of the transformation is constructed which greatly extends the possible applications. |
Author | Pilipchuk, V.N Starushenko, G.A |
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CitedBy_id | crossref_primary_10_1016_j_compstruct_2017_07_068 crossref_primary_10_1016_j_mechrescom_2008_03_005 crossref_primary_10_1142_S0217979217420012 crossref_primary_10_1103_PhysRevE_82_026603 crossref_primary_10_1115_1_3090830 crossref_primary_10_1016_j_wavemoti_2016_01_007 crossref_primary_10_1016_j_compstruct_2017_07_070 crossref_primary_10_1103_PhysRevE_83_046211 |
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Copyright | 1997 |
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References | Zhuravlev, Klimov (BIB3) 1988 Maslov, Omel'yanov (BIB4) 1981; 36 Kecs, Tuodorescu (BIB5) 1974 Kufner, Fucvik (BIB7) 1980 Andrianov, Manevich (BIB9) 1983; 6 Pilipchuk (BIB1) 1988; 4 Zhuravlev (BIB2) 1977; 6 Pilipchuk (BIB6) 1992; 107 Kuzmak (BIB8) 1959; 23 Maslov (10.1016/S0021-8928(97)00033-6_BIB4) 1981; 36 Pilipchuk (10.1016/S0021-8928(97)00033-6_BIB1) 1988; 4 Zhuravlev (10.1016/S0021-8928(97)00033-6_BIB2) 1977; 6 Zhuravlev (10.1016/S0021-8928(97)00033-6_BIB3) 1988 Kufner (10.1016/S0021-8928(97)00033-6_BIB7) 1980 Kuzmak (10.1016/S0021-8928(97)00033-6_BIB8) 1959; 23 Andrianov (10.1016/S0021-8928(97)00033-6_BIB9) 1983; 6 Pilipchuk (10.1016/S0021-8928(97)00033-6_BIB6) 1992; 107 Kecs (10.1016/S0021-8928(97)00033-6_BIB5) 1974 |
References_xml | – volume: 4 start-page: 37 year: 1988 end-page: 40 ident: BIB1 article-title: The transformation of oscillatory systems using a pair of non-smooth periodic functions publication-title: Dokl. Akad Nauk USSR Ser. A contributor: fullname: Pilipchuk – year: 1988 ident: BIB3 article-title: Applied Methods in the Theory of Oscillations contributor: fullname: Klimov – volume: 6 start-page: 3 year: 1983 end-page: 29 ident: BIB9 article-title: The use of the averaging method in shell calculations publication-title: Uspekhi Mekhaniki contributor: fullname: Manevich – year: 1980 ident: BIB7 article-title: Nonlinear Differential Equations contributor: fullname: Fucvik – volume: 23 start-page: 515 year: 1959 end-page: 526 ident: BIB8 article-title: Asymptotic solutions of second-order non-linear differential equations with variable coefficients publication-title: Pikl. Mat. Mekh. contributor: fullname: Kuzmak – volume: 107 start-page: 335 year: 1992 end-page: 343 ident: BIB6 article-title: The calculation of periodic processes in mechanical systems with pulsed excitation publication-title: Zesryty Naukowe. Mechanika contributor: fullname: Pilipchuk – year: 1974 ident: BIB5 article-title: Applications of the Theory of Distributions in Mechanics contributor: fullname: Tuodorescu – volume: 36 start-page: 63 year: 1981 end-page: 126 ident: BIB4 article-title: Asymptotic soliton-like solutions of equations with small dispersion publication-title: Uspekhi Mat. Nauk contributor: fullname: Omel'yanov – volume: 6 start-page: 24 year: 1977 end-page: 28 ident: BIB2 article-title: Investigation of some vibratory-percussive systems by the non-smooth transformation method. publication-title: Izv Akad Nauk SSSR MTT contributor: fullname: Zhuravlev – volume: 4 start-page: 37 year: 1988 ident: 10.1016/S0021-8928(97)00033-6_BIB1 article-title: The transformation of oscillatory systems using a pair of non-smooth periodic functions publication-title: Dokl. Akad Nauk USSR Ser. A contributor: fullname: Pilipchuk – volume: 6 start-page: 24 year: 1977 ident: 10.1016/S0021-8928(97)00033-6_BIB2 article-title: Investigation of some vibratory-percussive systems by the non-smooth transformation method. publication-title: Izv Akad Nauk SSSR MTT contributor: fullname: Zhuravlev – year: 1974 ident: 10.1016/S0021-8928(97)00033-6_BIB5 contributor: fullname: Kecs – volume: 23 start-page: 515 issue: 3 year: 1959 ident: 10.1016/S0021-8928(97)00033-6_BIB8 article-title: Asymptotic solutions of second-order non-linear differential equations with variable coefficients publication-title: Pikl. Mat. Mekh. contributor: fullname: Kuzmak – volume: 6 start-page: 3 issue: 3/4 year: 1983 ident: 10.1016/S0021-8928(97)00033-6_BIB9 article-title: The use of the averaging method in shell calculations publication-title: Uspekhi Mekhaniki contributor: fullname: Andrianov – volume: 107 start-page: 335 year: 1992 ident: 10.1016/S0021-8928(97)00033-6_BIB6 article-title: The calculation of periodic processes in mechanical systems with pulsed excitation contributor: fullname: Pilipchuk – volume: 36 start-page: 63 issue: 3(219) year: 1981 ident: 10.1016/S0021-8928(97)00033-6_BIB4 article-title: Asymptotic soliton-like solutions of equations with small dispersion publication-title: Uspekhi Mat. Nauk contributor: fullname: Maslov – year: 1980 ident: 10.1016/S0021-8928(97)00033-6_BIB7 contributor: fullname: Kufner – year: 1988 ident: 10.1016/S0021-8928(97)00033-6_BIB3 contributor: fullname: Zhuravlev |
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Title | A version of non-smooth transformations for one-dimensional elastic systems with a periodic structure |
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