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共查询到16条相似文献，搜索用时 502 毫秒
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1.引言B. S. Ramachandra Rao等人1971年提出了半无限长板条弯曲问题的一种解法,但只限于分析等厚度和一种材料构成的板条。本文导出了非均匀多跨半无限长板条对应的特征函数的一组新正交关系,它和文献[1]中的正交关系有着完全不同的形式。最后利用这组正交关系求得了问题的一般解。不难看出,文献[1]中研究的问题是本文的一个特例。  相似文献

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1.引言薄板弯曲问题和弹性力学平面问题的边界配点法,通常都是选用双调和方程的各类特解序列来构造试函数。在弹性力学教本中出现过的三类特解序列都可用来构造试函数。文献[2]以多项式级数为试函数,使用混合法分析过薄板强度。文[3]在边界配点法中使用了两种试函数——多项式级数和双曲三角函数。文[4]提出了一种产生双调和多项式的方法。文[5,6]使用的是双曲三角函数。文[7]综合了极坐标系中各种  相似文献

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IntroductionAsymplecticsystematicmethodology[1- 3]forelasticitywasestablishedbyZhongWan_xie .Hepresentedcreativelythedualvectorsandthesymplecticorthogonalrelationshipandopenedaworkplatformparalleledtothetraditionalelasticity[4 - 9].AnewdualvectorandanewdualdifferentialmatrixLwerepresentedforasymplecticsystematicmethodologyfortwo_dimensionalelasticityandaneworthogonalrelationshipwasdiscoveredforisotropicplaneproblems[4 ]byLuoJian_hui.Theneworthogonalrelationshipisgeneralizedfororthotropicelas…  相似文献

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A new state vector is presented for symplectic solution to three dimensional couple stress problem. Without relying on the analogy relationship, the dual PDEs of couple stress problem are derived by a new state vector. The duality solution methodology in a new form is thus extended to three dimensional couple stress. A new symplectic orthonormality relationship is proved. The symplectic solution to couple stress theory based a new state vector is more accordant with the custom of classical elasticity and is more convenient to process boundary conditions. A Hamilton mixed energy variational principle is derived by the integral method.  相似文献

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Dual conservation laws of linear planar elasticity theory have been systematically studied based on stress function formalism. By employing generalized symmetry transformation or the Lie—Bäcklund transformation, a class of new dual conservation laws in planar elasticity have been discovered based on the Noether theorem and its Bessel—Hagen generalization. The physical implications of these dual conservation laws are discussed briefly.  相似文献

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