Non-linear dynamics of flexible shell structures

被引：0

作者：

Chrós´cielewski, Jacek ^{[1
]}

Makowski, Jerzy ^{[1
]}

Pietraszkiewicz, Wojciech ^{[1
]}

机构：

[1] Technical University of Gdansk, Div. of Bridges ul. Narutowicza, 80-952 Gdan´sk, Poland

来源：

Computer Assisted Mechanics and Engineering Sciences | 2002年 / 9卷 / 03期

关键词：

Algorithms - Approximation theory - Cantilever beams - Computer simulation - Dynamics - Finite element method - Flexible structures - Initial value problems - Interpolation - Kinetic energy - Potential energy - Shells (structures);

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The initial-boundary value problem in the weak form is formulated for the general six-field non-linear theory of branched shell structures. The extended time-stepping algorithm of the Newmark type is worked out for the non-linear dynamic analysis on the configuration space containing the rotation group SO(3). Within the finite element approximation, an accurate indirect C0 interpolation procedure on SO(3) with a transport of approximation domain is developed. Numerical simulations by the finite element method of 2D and 3D large overall motions of several flexible elastic shell structures are presented. It is shown that values of potential and kinetic energies may oscillate in time, but the total energy remains conserved during the free motion of the structures in space.

引用

页码：341 / 357

共 50 条

[31] Non-linear control with Lyapunov stability applied to spacecraft with flexible structures
Lin, YY
Lin, GL
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2001, 215 (I2) : 131 - 141
[32] Approximate non-linear boundary value problems of reinforced shell dynamics
Andrianov, IV
Kholod, EG
Olevsky, VI
JOURNAL OF SOUND AND VIBRATION, 1996, 194 (03) : 369 - 387
[33] NON-LINEAR SHELL DYNAMICS - INTRINSIC AND SEMI-INTRINSIC APPROACHES
LIBAI, A
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03): : 531 - 536
[34] ON SOME PROBLEMS OF NON-LINEAR DYNAMICS - DYNAMICAL CHAOS AND STRUCTURES
GAPONOVGREKHOV, AV
RABINOVICH, MI
VESTNIK AKADEMII NAUK SSSR, 1988, (03) : 3 - 15
[35] NON-LINEAR DYNAMICS AND GEOMETRICAL PROPERTIES OF LOCALIZED WAVE STRUCTURES
SHVARTSBURG, AB
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 83 (02): : 107 - 149
[36] Study of flexible couplings non-linear dynamics using bond graphs
Margielewicz, Jerzy
Opasiak, Tadeusz
Gaska, Damian
Litak, Grzegorz
FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 2019, 83 (02): : 317 - 323
[37] Geometric non-linear analysis of space shell structures using generalized conforming flat shell elements - For space shell structures
Zhang, Q
Lu, M
Kuang, WQ
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1998, 14 (10): : 941 - 957
[38] DYNAMICS OF LINEAR AND NON-LINEAR SYSTEMS
HEAD, JW
ELECTRONIC ENGINEERING, 1966, 38 (457): : 188 - &
[39] DYNAMICS OF LINEAR AND NON-LINEAR SYSTEMS
GILLIES, AW
NATURE, 1966, 210 (5031) : 54 - &
[40] NON-LINEAR EQUATIONS OF SHELL EQUILIBRIUM
DAREVSKI.VM
DOKLADY AKADEMII NAUK SSSR, 1966, 170 (03): : 537 - &

← 1 2 3 4 5 →