摘要
平台运动对张力腿的非线性动力响应具有显著的影响。提出了新的更加符合实际的边界条件,分别采用线性的Euler-Bernoulli梁和非线性梁模型,分析了在不同的张力腿长度和平台激励条件下,线性张力腿模型与非线性模型在预测其动力响应时所得结果的差异。为了保证数值计算的正确性和可靠性,运用了两种不同的计算方法;Galerkin法,有限差分法进行数值求解。结果表明:非线性模型所得的张力腿流向响应幅值要比线性模型的小,且随着张力腿长度以及平台纵荡幅值的增加,非线性模型与线性模型的预测结果之间的差异会变得越来越显著。
The tendon is respectively modeled as a linear Euler-Bernoulli beam and a nonlinear beam which is undergoing coupled transverse and axial motion .The main aim of the paper is to compare the results obtained by linear model with those obtained by nonlinear model, under different platform excitations and with different tendon length. In order to ensure the correctness and the reliability of the numerical predictions, the governing equations are treated using two different solution methodologies, the first is implemented using Galerkin's method; and the second is a finite difference approximation scheme. It is observed that the magnitude of tendon response obtained by nonlinear model is smaller than that obtained by linear model, and the differences between dynamic response predictions according to linear and nonlinear model become more and more obvious when the tendon length and the platform surge amplitude become larger.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第5期134-138,共5页
Journal of Vibration and Shock
基金
国家高技术研究发展计划(863计划)(课题编号2006AA09Z350)
中国科学院知识创新工程重要方向项目(课题编号KJCX2-YW-L02)资助
