排序方式: 共有41条查询结果,搜索用时 14 毫秒
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扁球面网壳的混沌运动研究 总被引:3,自引:0,他引:3
在圆形三向网架非线性动力学基本方程的基础上,用拟壳法给出了圆底扁球面三向网壳的非线性动力学基本方程.在固定边界条件下,引入了异于等厚度壳的无量纲量,对基本方程和边界条件进行无量纲化,通过Galerkin作用得到了一个含二次、三次的非线性动力学方程.为求Melnikov函数,对一类非线性动力系统的自由振动方程进行了求解,得到了此类问题的准确解.在无激励情况下,讨论了稳定性问题.在外激励情况下,通过求Melnikov函数,给出了可能发生混沌运动的条件.通过数字仿真绘出了平面相图,证实了混沌运动的存在. 相似文献
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圆薄板非对称大变形弯曲问题 总被引:7,自引:3,他引:4
本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件.利用变换和摄动法将非线性位移方程线性化,得到了近似边值问题.作为算例,文中研究了圆薄板在较复杂载荷作用下的非线性弯曲问题. 相似文献
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王新志 《应用数学和力学(英文版)》1983,(1)
In this paper,to begin with,the large deflection equationof variable thickness circular plates is given.By using smallparameter method and revised iteration jointly a cubic approxi-mate solution is obtained.A characteristic is also given forcomparison with linear theory. 相似文献
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I.IntroductionItisimportanttoresearchnon-symmetricalquestionsofshallowcollicalshellsintheoryoronapplication.Asonekindofpressurevessel'sparts,shallowconicalshellsareverycommonlyusedillellgineerillgpractice,becausethedifficultyofmanul\lctul.illgthemis'small.AlthotlghwelookupmanyChineseandtbreignperiodicalswhicharctlblctobefound,wehavenotyeth'ulldarticlesanddocumentsfornon-symmetricalandnolllinearquestionsofshitllowconictllshells.Oval'rccelltyears,ProlbssorWangXinzhiandhiscolleagueshavedonealot… 相似文献
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本文由[3]给出的变厚度圆薄板在均布载荷作用下的大挠度方程,直接推出变厚度圆薄板在集中载荷作用下的大挠度方程。并用小参数法和修正迭代法联合求解了此问题,得到三次近似解析解,可供工程设计参考应用。 相似文献
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In this paper we use the method of derivative expansion of multiple scales of singularperturbations and we have solve the forced vibration equation of a particle attached to anonlinear spring under the influence of slight viscous damping.The problem is of the fourthorder nonlinearity.Tle four cases discussed are: the soft excitation of non-resonance,thehard excitation of non-resonance,the soft excitation of resonance,the hard excitation ofresonance. 相似文献
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The nonlinear dynamical equations of axle symmetry are established by the method of quasi-shells for three-dimensional shallow conical single-layer lattice shells. The compatible equations are given in geometrical nonlinear range. A nonlinear differential equation containing the second and the third order nonlinear items is derived under the boundary conditions of fixed and clamped edges by the method of Galerkin. The problem of bifurcation is discussed by solving the Floquet exponent. In order to study chaotic motion, the equations of free oscillation of a kind of nonlinear dynamics system are solved. Then an exact solution to nonlinear free oscillation of the shallow conical single-layer lattice shell is found as well. The critical conditions of chaotic motion are obtained by solving Melnikov functions, some phase planes are drawn by using digital simulation proving the existence of chaotic motion. 相似文献
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静载荷作用下正交各向异性旋转扁壳的非线性自由振动 总被引:3,自引:1,他引:2
本文用加权残值法和Lindstedt-Poincare摄动法研究了圆柱型正交各向异性扁薄球壳和锥壳在均布静载荷作用下的轴对称非线性自由振动问题,得到了其非线性固有频率和振幅间的特征关系,并讨论了静载荷及壳体的几何参数和材料参数对其振动特性的影响。 相似文献
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