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本文讨论弹性非保守压杆的大幅度动力问题。导出了在一般非保守力作用下杆的非线性运动微分方程,并给出与此相应的拟Hamilton变分表达式,具体地分析了悬臂杆在大挠度下的动力特性,当挠度很小其高次项可以略去时,本文所得结论都能近似地退化为线性理论的结果。 相似文献
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粘弹性Timoshenko梁的自由振动 总被引:1,自引:0,他引:1
计伊周;王忠民;刘协会;刘宪达 《力学与实践》1987,9(5):16-19
本文利用Kelvin-voigt模型研究了粘弹性梁的横向自由振动.指出对于各向同性的粘弹性体,剪应力与角应变之间的关系应为: 据此导出了考虑剪切变形效应和转动惯量效应的粘弹性梁的运动微分方程,并求得了粘弹性简支梁固有频率的解析解。数值计算表明,对于高阶频率,剪切变形和转动惯量的影响均不可忽视,且剪切变形的影响更为重要。对于低阶频率,粘性的影响可以不加考虑。 相似文献
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In this paper, a governing differential equation of viscoelastic Timoshenko beam including both extension and shear viscosity is developed in the time domain by direct method. To measure the complex moduli and three parameters of standard linear solid, the forced vibration technique of beam is successfully used for PCL and PMMA specimens. The dynamical characteristics of viscoelastic Timoshenko beams, especially the damping properties, are derived from a considerable number of numerical computations. The analyses show that the viscosity of materials has great influence on dynamical characteristics of structures, especially on damping, and the standard linear solid model is the better one for describing the dynamic behavior of high viscous materials. 相似文献
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LC4—M材料复合型韧断主要影响因素的分析 总被引:5,自引:0,他引:5
通过分析LC4-M铝合金材料在不同复合比载荷下的断裂试验结果,参照常规断裂现象,修正了一般断裂试验中认定裂纹启裂方向的方法,结合不同复合比下裂尖附近应力三维、主应力方向的计算分析,得到:在裂端的钝化变形区域、应力三维度的极大值处,对应于裂纹的启裂位置,即使在高韧性材料中发生剪切断裂的情况下也是如此;裂纹的启裂方向在拉伸断裂时与启裂点最大拉应力方向有关,在剪切断裂时启裂点最大剪应力方向有关,引起两种形式断裂的主要因数和破坏机理有很大不同。 相似文献
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In this paper,a governing differential equation of viscoelastic Timoshenko beamincluding both extension and shear viscosity is developed in the time domain by directmethod.To measure the complex moduli and three parameters of standard linear solid,theforced vibration technique of beam is successfully used for PCL and PMMA specimens.The dynamical characteristics of viscoelastic Timoshenko beams,especially the dampingproperties,are derived from a considerable number of numerical computations.Theanalyses show that the viscosity of materials has great influence on dynamicalcharacteristics of structures,especially on damping,and the standard linear solid model isthe better one for describing the dynamic behavior of high viscous materials. 相似文献
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