共查询到20条相似文献,搜索用时 46 毫秒
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从轴向极化的三维圆柱型正交各向异性压电弹性力学基本方程出发,建立了状态方程。采用细分近似方法,得到了状态变量解。分析了两端简支的层合压电圆柱壳的自由振动问题,给出了频率方程的精确形式,并作了具体计算。 相似文献
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针对圆柱壳内振源振动通过环形支承向壳体传递的问题,提出一种基于压电作动器的主被动支承隔振方案,并通过振源-主被动支承-壳体耦合系统进行振动控制分析。根据Flugge壳理论,采用波传播法建立圆柱壳体振动模型,同时采用有限元方法建立振源及主被动支承的振动模型,最终使用子结构频响函数综合获得耦合系统振动模型。基于耦合系统模型和理想控制假设,在频域给出壳体振动可控性,并通过振源-主被动支承-壳体试验系统验证控制的有效性。仿真与试验结果表明,基于压电作动器的主被动隔振方案能显著降低壳体的宽带和线谱振动。 相似文献
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针对固支-自由约束条件下受径向谐波激励或径向冲击激励的薄壁圆柱壳构件,开展其受迫振动下的响应特征分析。首先基于Love壳体理论建立了薄壁圆柱壳构件的动力学模型,然后,根据固支-自由约束条件特点,采用轴向梁函数和周向三角函数组合的振型函数以及振型叠加法,获得了考虑粘性阻尼的薄壁圆柱壳模态坐标振动方程,进而求解受径向谐波激励或冲击激励的振动响应。通过一个具体算例,进行了不同位置上的响应幅度与相位的变化分析,并对比了模态阻尼比和激励力幅值对响应幅值的影响。 相似文献
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Analytical solution for the axisymmetric plane strain electroelastic dynamics of a special non-homogeneous piezoelectric hollow cylinder 总被引:1,自引:0,他引:1
By virtue of the introduction of a dependent variable and the separation of variables technique, the axisymmetric plane strain electroelastic dynamic problem of a special non-homogeneous piezoelectric hollow cylinder is transformed to a Volterra integral equation of the second kind about a function with respect to time, which can be solved successfully by means of the interpolation method. Then the solutions of displacements, stresses, electric displacements and electric potential are obtained. The present method is suitable for a piezoelectric hollow cylinder with an arbitrary thickness subjected to arbitrary mechanical and electrical loads. Numerical results are finally presented. 相似文献
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针对由各向同性弹性核和压电层组成的两层复合圆柱的旋转问题,给出了弹性力学解。先从压电层的静电平衡方程出发,得到含一个待定常数的电位移形式解,并由此分别给出弹性核和压电层的位移通解,然后利用力学和电学边界条件以及界面处的连续条件确定出所有各层中引入的待定常数,最终得到原问题的解。数值结果表明:当压电层的内外表面均接地时,压电层中的径向应力幅值随弹性核材料的杨氏模量增大而增大,而环向应力则正好相反。弹性核材料的泊松比及外加在压电层内外表面上的电势对旋转两层复合圆柱内的应力响应均有显著的影响。 相似文献
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W. Larbi J.‐F. Deü R. Ohayon 《International journal for numerical methods in engineering》2007,71(12):1412-1435
This paper presents the theoretical and finite element formulations of piezoelectric composite shells of revolution filled with compressible fluid. The originality of this work lies (i) in the development of a variational formulation for the fully coupled fluid/piezoelectric structure system, and (ii) in the finite element implementation of an inexpensive and accurate axisymmetric adaptive laminated conical shell element. Various modal results are presented in order to validate and illustrate the efficiency of the proposed fluid–structure finite element formulation. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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Interfacial stresses, electric fields, and electric displacements of a piezoelectric unsymmetrical bi-layer orthotropic laminate are presented. A state space equation for orthotropic piezoelectric material is derived from three-dimensional piezoelectric elasticity directly. With the application of the transfer matrix and recursive solution approach, a strong solution for the unsymmetrical piezoelectric generalized plane strain bi-layer laminated structure is sought after considering all elastic and piezoelectric constants of materials. Electromechanical boundary layer effect is identified quantitatively at free edges. To facilitate the discussion on the results, the corresponding calculations from finite element models are compared with those of the strong solution. 相似文献
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B. L. WANG J. C. HAN S. Y. DU 《Fatigue & Fracture of Engineering Materials & Structures》2011,34(2):139-148
The problems of a surface electrode and a rigid punch on a finite piezoelectric layer are considered in this paper. The resultant force and the accumulated electric charge on the electrode/punch are prescribed. Closed‐form solutions for the electromechanical fields at the electrode/punch tip are obtained and are expressed in terms of the applied strain and electric field intensity factors. For infinite layer thickness, the strain and electric field intensity factors are obtained in closed‐form. For finite layer thickness, the strain and electric field intensity factors are obtained numerically by the singular integral equation technique. The effect of layer thickness on the electrode/punch tip fields is discussed. It is found that the field intensities at the electrode/punch tip can be reduced considerably by decreasing layer thickness. In addition to the single electrode/punch problem, this paper also provides a solution technique for two collinear surface electrodes/punches on a finite piezoelectric layer. The effect of the relative distance between the two electrodes/punches on the electromechanical fields in the piezoelectric layer is also discussed. 相似文献
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Vibration smart control analysis of a temperature-dependent functionally graded-carbon nanotube-reinforced piezoelectric cylindrical shell embedded in an orthotropic elastic medium is investigated. The mixture law is used for obtaining the material properties of the structure. The structure is subjected to a 2D magnetic field. Considering the first-order shear deformation theory, the motion equations are obtained. Based on an analytical method and differential quadrature method, the frequency is calculated. The effects of applied voltage, magnetic field, volume percent, and distribution type of carbon nanotubes, temperature, orthotropic elastic medium, and length to radius ratio of the shell are shown on system frequency. 相似文献
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Xinyun Guo Yiu‐Yin Lee Chuh Mei 《International journal for numerical methods in engineering》2006,67(10):1467-1489
This paper investigates the large‐amplitude multi‐mode random response of thin shallow shells with rectangular planform at elevated temperatures using a finite element non‐linear modal formulation. A thin laminated composite shallow shell element and the system equations of motion are developed. The system equations in structural node degrees‐of‐freedom (DOF) are transformed into modal co‐ordinates, and the non‐linear stiffness matrices are transformed into non‐linear modal stiffness matrices. The number of modal equations is much smaller than the number of equations in structural node DOF. A numerical integration is employed to determine the random response. Thermal buckling deflections are obtained to explain the intermittent snap‐through phenomenon. The natural frequencies of the infinitesimal vibration about the thermally buckled equilibrium positions (BEPs) are studied, and it is found that there is great difference between the frequencies about the primary (positive) and the secondary (negative) BEPs. All three types of motion: (i) linear random vibration about the primary BEP, (ii) intermittent snap‐through between the two BEPs, and (iii) non‐linear large‐amplitude random vibration over the two BEPs, can be predicted. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献