摘要
根据柔性梁的几何非线性变形理论,从连续介质的力学原理出发,针对大范围运动的平面柔性梁,考虑了弯曲的非线性因素对横向变形的影响,得到了较为精确的变形模式。利用Lagrange方程建立了非线性变形模式下的动力学方程。仿真算例说明横向变形的非线性因素会对柔性梁的变形位移产生影响。
According to the geometrically nonlinear deformation of a flexible beam and continuum medium mechanics, for a planar flexible beam under large overall motions, a rather precise deformation model with the influence of nonlinear factors on horizontal deformation taken into consideration was derived. The dynamics equations for the curved deformation model were worked out by using Lagrange's equations. A simulation instance shows that the nonlinear factors of horizontal deformation have significant effects on the deflection of a flexible beam.
出处
《机械科学与技术》
CSCD
北大核心
2006年第4期407-409,共3页
Mechanical Science and Technology for Aerospace Engineering
关键词
非线性变形
平面柔性梁
nonlinear detormation
planar flexible beam