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附着于运动基上的弹性体的有限元动力学方程及其Neumann级数解法 总被引:1,自引:0,他引:1
采用运动参考系方法,根据Jourdain动力学普遍方程,导出了具有给定空间运动的弹性体的有限元动力学方程。提出了求解这类动力学方程数值解的Neumann级数-直接积分法。与经典算例的比较说明了所提出的方程和计算方法的正确性与优越性。 相似文献
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基于Kelvin粘弹性材料本构模型及带运动方程,建立了运动带非线性动力学分析模型.基于该模型和Lie群分析方法推导了匀速运动及简谐运动带线性问题的解析解;基于该非线性模型的数值仿真讨论了运动带材料参数、带稳态运动速度、扰动速度对系统动态响应的影响.结果表明:1)当带匀速运动时,无论系统是线性还是非线性,运动带横向振动"频率"都随着带运动稳态速度增加而减小.2)随着材料粘性增加,系统耗散能力逐渐增强,动态响应逐渐减小.3)当带运动速度简谐波动时,系统动态响应随扰动速度增大而增大.扰动频率对带横向振动影响较大. 相似文献
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将Kane方法运用于六自由度并联机构的动力学建模,在对实际机构进行简化的基础上,建立了滑块驱动力与动平台运动规律之间的数学模型.利用MATLAB软件进行编程计算,所得结果与ADAMS软件动力学仿真的结果十分相近,从而为优化六自由度并联机构提供了基础. 相似文献
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运动柔性梁非线性振动主动控制的建模与分析 总被引:2,自引:0,他引:2
采用运动参考系方法,根据Jourdain动力学普遍方程,导出了具有给定空间运动的弹性结构的有限元方程,进而得到其闭环振动控制方程,采用分段线性化的思想,由线性二次优化理论导出了有闭环反馈控制的以分段压电片作为执行器的运动柔性杆梁结构非线性振动的主动控制的分析方法,两个算例验证了所提方法的有效性。 相似文献
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Perturbation transfer matrix method for eigendata of one-dimensional structural system with parameter uncertainties 总被引:3,自引:0,他引:3
IntroductionThestructuralsystemswithparameteruncertaintiesareverycommoninengineering .AcomprehensivereviewonthesubjectofdynamicproblemsofthesesystemswaspresentedinRef.[1]byIbrahim .Theperturbationmatrixmethodplaysanimportantroleintheinvestigationofdynamic… 相似文献
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Based on the Kelvin viscoelastic differential constitutive law and the motion equation of the axially moving belt, the nonlinear dynamic model of the viscoelastic axial moving belt was established. And then it was reduced to be a linear differential system which the analytical solutions with a constant transport velocity and with a harmonically varying transport velocity were obtained by applying Lie group transformations. According to the nonlinear dynamic model, the effects of material parameters and the steady-state velocity and the perturbed axial velocity of the belt on the dynamic responses of the belts were investigated by the research of digital simulation . The result shows:1) The nonlinear vibration frequency of the belt will become small when the relocity of the belt increases . 2) Increasing the value of viscosity or decreasing the value of elasticity leads to a deceasing in vibration frequencies. 3) The most effects of the transverse amplitudes come from the frequency of the perturbed veloc 相似文献
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A new numerical manifold (NMM) method is derived on the basis of quartic uniform B-spline interpolation. The analysis shows that the new interpolation function possesses higher-order continuity and pol... 相似文献
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