Title

空间大挠度梁的有限元动力学响应分析

Translated Titles

Finite Element Method for Dynamics Response Analysis of Large Deflection of Three-Dimensional Beam

Authors

何欢(Huan He);陈国平(Guo-Ping Chen)

Key Words

大挠度 ; 空间梁 ; 几何非线性 ; 非线性惯性 ; 弯扭耦合 ; 动响应 ; large deflection ; three-dimensional beam ; geometric nonlinearity ; nonlinear inertia ; coupled deformation of bending and torsion ; dynamic response

PublicationName

南京航空航天大學學報

Volume or Term/Year and Month of Publication

37卷2期(2005 / 04 / 01)

Page #

198 - 202

Content Language

簡體中文

Chinese Abstract

从弹性梁的非线性应变位移关系出发,结合Hamilton变分原理推导出了作大挠度振动的空间梁的动力学有限元方程。方程中考虑了与变形相耦合的非线性惯性项。计算表明,作大挠度振动的悬臂梁的响应是由不同的谐波成分组成;在相同结构阻尼影响下,大挠度梁的稳态振幅比线性情况下的稳态振幅要低;非线性惯性项与弯扭耦合项对系统的动力学特性有比较明显的影响。

English Abstract

Based on the nonlinear relationship between strains and displacements, the finite element formulation for large deflection of three-dimensional beam is developed through Hamilton's variational principle. The formulation can describe the nonlinear vibration of the three-dimensional beam. Nonlinear inertia term coupled with the displacement of torsion is concerned. Calculational results show that the nonlinear response of a cantilever beam consists of a series of different harmonic waves; the stable amplitude plitude of the nonlinear vibration is smaller than that of the linear systems under the same structure damping; the dynamics characteristic can be significantly influenced by the nonlinear inertia term and the coupling terms of bending and torsion.

Topic Category 基礎與應用科學 > 基礎與應用科學綜合
工程學 > 工程學綜合