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阶梯压电层合梁的波动动力学特性 总被引:2,自引:0,他引:2
采用行波理论系统地研究了压电阶梯梁的自由振动分析以及强迫响应的分析方法. 基于分布
参数理论研究了压电阶梯梁的波传播特性,忽略柔性梁横向剪切和转动惯量的影响,给出了
梁的轴向和横向的简谐波解. 将压电阶梯梁离散化为单元,考虑压电片的刚度和质量的影响,
建立了节点散射模型. 应用位移连续和力平衡条件,推导了节点的波反射和波传递矩阵,在
此基础上,引入波循环矩阵的概念,给出波循环矩阵、波传递系数矩阵的确定方法. 应用波
循环矩阵可以有效地计算结构的固有频率. 另外,应用波传递系数研究了压电陶瓷作动器位
置对其驱动能力的影响. 得出两个主要结论:1)作动器靠近悬臂梁固定端将有较强的驱动
能力,悬臂梁边界反射行波产生弯曲消失波有利于增大压电波的模态传递系数;2)模态传
递系数与固有频率的灵敏度密切相关,波传递系数越大, 对应该处固有频率变化灵敏度越大.
另外,数值算例表明了行波方法比有限元方法具有更高的计算精度. 相似文献
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This study investigates the experimentally observed hysteresis in the mean flow field of an annular swirling jet with a stepped‐conical nozzle. The flow is simulated using the Reynolds‐averaged Navier–Stokes (RANS) approach for incompressible flow with a k–ε and a Reynolds stress transport (RSTM) turbulence model. Four different flow structures are observed depending on the swirl number: ‘closed jet flow’, ‘open jet flow low swirl’, ‘open jet flow high swirl’ and ‘coanda jet flow’. These flow patterns change with varying swirl number and hysteresis at low and intermediate swirl numbers is revealed when increasing and subsequently decreasing the swirl. The influence of the inlet velocity profile on the transitional swirl numbers is investigated. When comparing computational fluid dynamics with experiments, the results show that both turbulence models predict the four different flow structures and the associated hysteresis and multiple solutions at low and intermediate swirl numbers. Therefore, a good agreement exists between experiments and numerics. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
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The surface stresses in Ag stepped surfaces (910), (710), (510), (410), (310), (210), (320), (430) and (540) have been calculated by using the modified embedded atom method (MEAM). The surface stresses in the surface plane τxx (along the step edge) and τyy (normal to the step edge) have similar orders of magnitude as the surface energy. For surfaces having the (100) and (110) terraces, the change of τxx and τyy is very small and the variation of the surface energy is smooth. The stress τzz (normal to the surface plane) is always tensile in the unrelaxed state. The linear variation of the change in surface energy per unit change in elastic strain , and (i.e. τxx ? γ, τyy ? γ and τzz) with the angle α between the (hk0) and (100) planes has a turning point corresponding to the (210) surface. The anisotropic ratio in the stepped surface having the (110) terrace is larger than that having the (100) terrace, and the wider the (110) terrace or the narrower the (100) terrace, the larger the ratio τyy/τxx. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
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The main objective of this paper is to apply an Adomian modified decomposition method for solving large amplitude vibration analysis of stepped beams with various general and elastic boundary conditions. Damaged or imperfect supports of beams can be modeled by using elastic boundary conditions composing of translational and rotational springs. For the beams subjected to dynamic severe loading, it is important to include the nonlinear term of axial stretching force developed by the large vibration amplitude in the governing equation for more accurate design. By using the method, the convergence studies for linear and nonlinear vibration analyses of stepped beams are shown for determining an appropriate number of terms in the solutions. The accuracy of the present results is validated numerically by comparing with some available results in the literature. New results of nonlinear frequency ratios of stepped beams with different boundary conditions are presented and discussed in detail. Aspects of step ratio, step location, boundary conditions, vibration amplitudes, etc., which have significant impact on linear and nonlinear frequencies of such beams are taken under investigation. 相似文献
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中面单向受拉(压)的阶梯式矩形薄板的振动 总被引:1,自引:0,他引:1
用奇异函数建立x=0与x=a两对边简支并受面内均布拉(压)力作用、加两边为任意支承、非单一材质的n级阶梯式矩形薄板自由振动和强迫振动的微分方程并求得其通解,用W算子给出振型了函数的表达式及常见支承条件下板的方程。文中给出的固有频率表达式表明,面内均布拉(压)力对固有的数值有影响。此处导出的各种情况下的影响函数,对于求解相应民政部下的阶梯式矩形薄板的静力弯曲和稳定性问题,也是适用的。 相似文献
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用奇异函数建立非单一材质的n级阶梯形闭口薄壁杆约束扭转自由振动和强迫振动的微分方程并求得其通解,用W算子给出主振型函数的表达式及常见支承条件下杆的频率方程。 相似文献