Sound absorption characteristics of a thin plate with PZT and shunt circuit I. Theoretical analysis

The feasibility of sound absorbing by a vibrating plate with piezoelectric material and shunt circuits is theoretically investigated. Based on an equivalent compliance of a piezoelectric wafer shunted with RL circuits, the governing equations for the fiexural vibration of the plate with the piezoelectric wafer are derived using Lagrange＇s approach. The equations take into account not only the mass, stiffness and structural damping of the plate and the wafer, but also the electrical resistance and electrical inductance of the RL circuits. By using the governing equations derived, the surface impedance and sound absorption coefficient of the plate backed with a cavity are given. Numerical results show that the sound absorption coefficient of the plate near its first mode can be significantly improved by adjusting the RL parameters.     

Inhomogenous Dislocation Nucleation Based on Atom Potential in Hexagonal Noncentrosymmetric Crystal Sheet

By introducing internal degree, the deformation of hexagonal noncentrosymmetric crystal sheet can be described by the revised Cauchy-Born rule based on atomic potential. The instability criterion is deduced to investigate the inhomogeneous dislocation nucleation behavior of the crystal sheet under simple loading. The anisotropic characters of dislocation nucleation under uniaxial tension are studied by using the continuum method associated with the instability criterion. The results show a strong relationship between yield stress and crystal sheet chirality. The results also indicate that the instability criterion has sufficient ability to capture the dislocation nucleation site and expansion. To observe the internal dislocation phenomenon, the prediction of the dislocation nucleation site and expansion domain is illustrated by MD simulations. The developed method is another way to explain the dislocation nucleation phenomenon.     

主动隔振下固支薄板基础振动抑制的参数多目标优化

考虑动力设备-隔振器-薄板基础为复合主动隔振体系,并将薄板视为固支形式;以传递力作用在薄板基础上某点导纳为中间变量,在传递力、导纳、薄板振动峰值位移及峰值点距离影响因素分析的基础上,进行了系统耦联参数的多目标优化研究。优化算法采用较新的强度Pareto进化算法(SPEA2),该算法具有参数设置少、收敛速度快、寻优能力强及Pareto最优解分布均匀等优点。目标函数考虑为薄板振动的位移峰值及峰值点间的距离,目的是在有效控制薄板振动的同时,尽可能地使薄板趋于单峰值点振动,这对于板上附属操作设备及工作人员是有利的;最后,在最优参数的基础上对隔振器的安装位置进行讨论研究。数值计算结果表明,本文方法可有效地计算出隔振系统的最优参数,并为工业建筑及其他工程振动的最优隔振设计提供新思路。     

SAPH440汽车薄板高低周疲劳特性试验研究

本文通过设计防屈曲装置,对2.3mm厚度汽车薄板SAPH440在室温下进行了单轴拉伸、低周疲劳和高周疲劳等一系列试验．给出该材料静态力学参数,低周疲劳曲线（E-N曲线）、高周疲劳曲线（S-N曲线）以及相关疲劳性能参数．分别得到了在应力比R=0.1和R= -1状态下的疲劳寿命公式．通过考察低周循环应力-应变曲线,发现材料在试验控制的循环应变幅范围内发生了循环软化,具有明显Masing特性．此外,通过对疲劳断口形貌分析,初步给出了疲劳裂纹的扩展机理．     

基于声子晶体带隙特性的薄板减振设计

基于平面波展开法和薄板振动方程,计算了薄板型声子晶体的带隙和减振特性,通过与有限元软件的计算结果验证带隙计算的正确性,并进一步讨论了散射体几何形状及填充率、弹性模量比、密度比等对薄板型声子晶体带隙特性和减振的影响.结果表明正多边形散射体随边数的减小,第一带隙宽度逐渐增加,正方形散射体薄板减振效果明显.填充率对声子晶体带隙特性的影响不是线性的.随散射体基体弹性模量比数量级增大,第一带隙趋于低频,宽度降低.散射体基体弹性模量比较大时,密度比越大,第一带隙宽度越大,对应的薄板结构减振特性越好.     

基于最佳质量网格的薄板问题的非协调流形方法

对于大部分非协调板单元,使用规则网格能得到很好的效果。但是,当网格不规则时,非协调元的数值特性将变得很差,甚至收敛性得不到保证。为解决网格依赖性问题,许多专家学者提出了改造单元,如拟协调元法和广义协调元法,这些方法能解决收敛性问题,但是数值实践证明没有一种单元能在所有情况下都具有良好的数值特性。考虑到流形方法采用两套完全独立的覆盖系统,可以用规则的数学网格来作为数学覆盖进行插值,取得最佳的插值效果,单元收敛性便能得到保证。再结合适用于流形方法的变分提法,建立起流形方法处理非规则物理边界非协调板单元的一般格式。以ACM 薄板单元为例,与ANSYS、拟协调元法和广义协调元法进行了对比,证明本文方法在处理具有曲线边界的薄板弯曲问题时具有收敛快和精度高等优势。     

Global bifurcations and multi-pulse chaotic dynamics of rectangular thin plate with one-to-one internal resonance

Global bifurcations and multi-pulse chaotic dynamics for a simply supported rectangular thin plate are studied by the extended Melnikov method.The rectangular thin plate is subject to transversal and in-plane excitation.A two-degree-of-freedom nonlinear nonautonomous system governing equations of motion for the rectangular thin plate is derived by the von Karman type equation and the Galerkin approach.A one-toone internal resonance is considered.An averaged equation is obtained with a multi-scale method.After transforming the averaged equation into a standard form,the extended Melnikov method is used to show the existence of multi-pulse chaotic dynamics,which can be used to explain the mechanism of modal interactions of thin plates.A method for calculating the Melnikov function is given without an explicit analytical expression of homoclinic orbits.Furthermore,restrictions on the damping,excitation,and detuning parameters are obtained,under which the multi-pulse chaotic dynamics is expected.The results of numerical simulations are also given to indicate the existence of small amplitude multi-pulse chaotic responses for the rectangular thin plate.     

面内阶跃载荷下矩形薄板的塑性动力屈曲

对于面内阶跃载荷作用下矩形薄板的塑性动力屈曲问题,将临界应力和屈曲惯性项指数参数作为双特征参数求解。由相邻平衡准则导出失稳控制方程,由动力屈曲发生瞬间的能量转换和守恒准则,导出波阵面上的屈曲变形补充约束条件。失稳控制方程、边界条件、塑性波阵面上的连续条件和补充约束条件构成了定量求解两个特征参数和动力屈曲模态的完备条件。研究了矩形薄板塑性动力屈曲过程中板的厚宽比、冲击载荷大小、屈曲模态和临界屈曲长度之间的关系。     

基于三角小波的弹性薄板高精度分析方法

采用同时具有三角函数良好逼近特性和小波多分辨率与局部特性的Hermite插值型三角小波,基于二维张量积三角小波,推导了求解各种不同边界条件下的矩形弹性薄板的弯曲、振动和屈曲问题的统一列式,同时给出了两种提高计算精度的方法一升阶法和多分辨率法。数值算例表明,三角小波法求解弹性薄板的弯曲、振动和屈曲问题时,能方便地处理各类边界条件,计算效果良好;自振特性分析更具优势,升阶法和多分辨率法能有效地提高分析精度。     

横向磁场中软铁磁薄板的物理非线性混沌振动

对处于横向均匀磁场中四边简支的软铁磁矩形薄板,在横向均布载荷作用下,考虑物理非线性和磁弹性耦合作用,由伽辽金法推导出磁弹性振动微分方程,求得了系统的异宿轨道参数方程,并根据Melnikov函数方法,推导并求解了振动系统异宿轨道的MelnikOV函数,给出了判断该系统发生Smale马蹄变换意义下混沌振动的条件和混沌判据.