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General solutions for coupled three dimensional equations of piezoelectric media were used in this work to obtain some analytical
solutions for free vibration of piezoelectric annular plates. These solutions not only satisfy the governing equations at
every point in the concerned region but also satisfy the prescribed boundary conditions at every point on the boundaries.
Therefore, they are three-dimensional exact. Numerical results are finally tabulated.
Project (No. 10002016) supported by the National Natural Science Foundation of China 相似文献
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本文简要说明计算机图形学曲面造型理论中关于曲面的三次曲线方程,然后联系实际讨论曲面插值理论和变换理论在三维动画制作中对于三维造型的点、面修改时的实际应用,并附上效果图。 相似文献
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LAU C.W.H. LIM C.W. LEUNG A.Y.T. 《浙江大学学报(A卷英文版)》2005,6(9):962-966
INTRODUCTION Piezoelectricity is an electromechanical phe- nomenon which couples elasticity and electricity through the existence of pressure induced electrical field or electric induced stress field. The piezoelectric materials are usually surface bonded in patches or fully embedded in the host structure, so that the structure becomes a laminated piezoelectric beam. Tzou and Gadre (1989), Lee (1990), Crawly and Lazarus (1991) developed laminated plate models incorporating the piezoelect… 相似文献
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INTRODUCTION For moderate thickness plate containing notches or holes, neither plane stress nor plane strain theory can describe its true deformation states (Jin and Hwang, 1989). This well known drawback has mo- tivated many analytical and numerical studies carried out to determine the effect of plate thickness on the in-plane stress distribution. Pioneering work on the along depth stress components, i.e. the K-M gener- alized plane strain theory was proposed by Kane and Mindlin (1956)… 相似文献
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根据拟线性退化椭圆方程主特征值的性质,利用临界点理论中的Ekeland变分原理和山路引理,证明了一类拟线性退化椭圆方程在第一特征值处近共振的三个存在性结果。 相似文献
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JIANG Wugui FU Mingfu CHEN Liangsen GENG Shiqi Department of Materials Science Engineering Nanchang Institute of Aeronautical Technology Nanchang Jiangxi P.R. China Institute of Engineering Mechanics Nanchang University Nanchang Jiang 《重庆大学学报(英文版)》2004,3(1):78-81
~~6.ConclusionsJaumannsrate,FusrateandWusratewereincorporatedintotheendochronicequationstoanalyzesimpleshearfinitedeformation.Incrementalequationsandnumericalsolutionsarepresentedforthreeendo-chronicobjectivemodels.TheresultsshowthatanoscillatoryshearstressresponsetoamonotonicallyincreasingshearstrainoccurswhentheJaumannsrateobjectivemodelisemployedforendochronicmaterials.Theoscillatoryresponseisdependentontheadoptedobjectiverate.ComparedwiththeJaumannsrate,theFusrateandtheWusratesatisfythe… 相似文献
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根据四阶拟线性椭圆方程主特征值的性质,利用临界点理论中的Ekeland变分原理和山路引理,证明了一类四阶拟线性椭圆方程在主特征值附近三个解的存在性,推广和丰富了已有文献的一些结果. 相似文献
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端木连喜 《临沂师范学院学报》2004,26(3):22-25
建立了Volterra积分方程存在三个非负解的一些标准，并给出了结论的具体运用．问题的证明中运用了LeggettWilliams不定点理论． 相似文献
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曹敏 《南通职业大学学报》2010,24(3):70-72
为证明G.Ladas对一类非线性差分方程的解有一定周期性的猜测,对一类非线性差分方程组的扰动解在稳定点的高阶导数的收敛性进行了研究。文章将该非线性差分方程转化为非线性差分方程组,同时给出了非线性差分方程组稳定点的定义,并证明了该非线性差分方程组的扰动解在稳定点高阶导数的整体收敛性。 相似文献
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运用锥上的不动点定理,讨论时间模上的二阶非线性m-点边值问题正解的存在性。其中ξ∈(0,T)T,0<ξ1<ξ2<…<ξm-2相似文献
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The endochronic equations proposed by Valanis (1980) were extended to a finite deformation range. Jaumann's rate,Fu's rate and Wu's rate were incorporated into the endochronic equations to analyze simple shear finite deformation. Incremental equations and numerical solutions are deduced for three endochronic objective models. The results show that an oscillatory shear stress response to a monotonically increasing shear strain occurs when the Jaumann's rate objective model is employed for endochronic materials. The oscillatory response is dependent on the adopted objective rate. Compared with the Jaumann's rate, the Fu's rate and the Wu's rate satisfy the restrictions to elastic-plastic constitutive relations and are in agreement with the experimental results. 相似文献
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研究了一类非线性三阶常微分方程组三点边值问题,通过运用Leggett-Williams不动点定理和Leray-schauder不动点定理建立了该问题至少有三个正解及任意奇数个正解的存在性准则. 相似文献
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利用扩展的双曲正切函数法获得了（2＋1）维长波短波共振相互作用方程的多组新显式精确行波解．这些解包括孤立波解，周期解和实数解． 相似文献
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杨刘 《安徽教育学院学报》2011,29(3):8-10
利用一个新的不动点定理考虑一类二阶三点边值问题正解的存在性,给出了正解存在的充分条件,所得结论不同于已有文献取得的结果。文中构造实例解释了结果的应用性。 相似文献
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利用全微分方程的条件，给出一类微分方程的积分因子及通解公式，得出几类全微分方程中未知函数所满足的微分方程，获得未知函数及全微分方程的通解． 相似文献
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研究变系数中立型泛函微分方程的解的振动性问题 分别获得了保证两类中立型方程的所有解振动的充分条件 ,改进了已有的部分结果 ,而且在某种程度上 ,我们的结果是不可改进的。 相似文献
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