基于薄板稳定问题的砌体墙板高厚比限值

基于薄板的稳定问题,研究砌体墙板的高厚比限值.将匀质化后的砌体墙看成正交各向异性薄板,运用板理论研究砌体墙板的力学性能,推导出匀质化墙板的压曲临界载荷计算公式,进而建立了墙板高厚比限值的计算公式,并将其计算值与现行规范允许值进行比较,验证了公式的适用性.结果表明,借助弹性力学中板的稳定问题来研究匀质化后的砌体墙板的稳定性是可行的.

系杆拱桥在风压力下吊杆力的非保向效应

研究了系杆拱桥在风压力与拱轴压力共同影响下引起的横向挠曲,同时考虑了吊杆力的非保向共同作用。采用单榀箱形拱肋与结合梁为系梁,以及框架式联结系的双榀系杆拱桥2个算例,对上述影响作出相应的计算,并对箱形拱肋弹性薄板进行局部加劲的优化设计,以提高其稳定性。

Stochastic Bifurcation of Rectangular Thin Plate Vibration System Subjected to Axial Inplane Gaussian White Noise Excitation

A stochastic nonlinear dynamical model is proposed to describe the vibration of rectangular thin plate under axial inplane excitation considering the influence of random environment factors. Firstly, the model is simplified by applying the stochastic averaging method of quasi-nonintegrable Hamilton system. Secondly, the methods of Lyapunov exponent and boundary classification associated with diffusion process are utilized to analyze the stochastic stability of the trivial solution of the system. Thirdly, the stochastic Hopf bifurcation of the vibration model is explored according to the qualitative changes in stationary probability density of system response, showing that the stochastic Hopf bifurcation occurs at two critical parametric values. Finally, some explanations are given in a simple way on the potential applications of stochastic stability and bifurcation analysis.