Nonlinear problems of circular plates with variable thickness under central concentrated load

Nonlinearly bending problems of circular thin plates with linearly varying thickness under central concentrated load are discussed.     

NONLINEAR PROBLEMS OF CIRCULAR PLATES WITH VARIABLE THICKNESS UNDER CENTRAL CONCENTRATED LOAD

Nonlinearly bending problems of circular thin plates with linearly varying thicknessunder central concentrated load are discussed.     

变厚度圆薄板在集中荷载下的非线性问题

本文研究了厚度按线性规律变化的圆薄板在中心集中力作用下的非线性弯曲问题。     

TRANSVERSELY ISOIROPIC BEAM UNDER INITIAL STRESS

Starting from Novozhilov’s nonlinear equations of elasticity by appropriatesimplification and integration over the beam cross-section,a linearized set of equations for atransversely isotropic beam under initial non-uniform state of stress is obtained.In theabsence of initial stress,the obtained equations are reduced to well-known Timoshenkobeam equations.These equations are applied to investigate the vibration and buckling characteristics ofa transversely isotropic beam under uniform initial axial force and bending moment.     

Vibration problems of flexible circular plates with initial deflection

In this paper,the differential equations of flexible circular plates with initialdeflection are derived.The stability of motion is investigated in phase plane.Theperiodical solutions of nonlinear vibration for circular plates with initial deflection areobtained by use of Galerkin method and Lindstedt-Poincare perturbation method.Theeffect of initial deflection on the dynamic behavior of the flexible plates are alsodiscussed.     

具有初挠度的柔韧圆板的振动问题

本文推导出具有初挠度柔韧圆板的振动方程,在相平面上讨论了运动稳定性.用Galerkin法和Lindstedt-Poincaré摄动法求得具有初挠度圆板非线性振动的周期解,讨论了初挠度对柔韧圆板的动力特性的影响.     

初始应力作用下的横向各向同性梁

本文从Novozhilov的非线性弹性理论基本方程出发,经适当的简化,用沿梁横截面积分的方法导出任意非均匀初始应力场作用下的横向各向同性梁的运动方程.当初始应力不存在时,方程退化为经典的Timoshenk。梁方程,作为例子,本文用所得的方程,研究了在初始轴向力、初始弯矩作用下的横向各向同性梁的屈曲及振动特性。