| 一类新型受任意载荷的杂交旋转壳单元 |
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| 引用本文： | 任永坚,丁浩江,等.一类新型受任意载荷的杂交旋转壳单元[J].固体力学学报,1990,11(1):34-46. |
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| 作者姓名： | 任永坚 丁浩江 |
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| 作者单位： | 浙江大学，浙江大学，浙江大学 |
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| 摘 要： | 本文从弹性力学Reissner变分原理出发推导旋转壳曲线坐标系下内分，位移的二类变量广义变分原理，依据这个原理推导一类旋转壳坐标系中具有独立横向转角的受谐和外载荷下的杂交旋转壳单元，内力模式的选用使刚度矩阵的剪切部份在薄壳情况下能反映Kirchhoff假设，并使单元刚度矩阵满秩，从而保证单元无剪切自锁和零能模式，数例证明这类单元对中厚和薄旋转壳具有良好的通用性和较高的精度。
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| 关 键 词： | 变分原理 旋转壳 有限元 任意载荷 |
A NEW TYPE OF HYBRID ELEMENTS FOR SHELLS OF REVOLUTION SUBJECTED TO ARBITRARY LOADS |
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| Ren Yongjian, Ding Haojiang, Hu Haichang Zhejiang University.A NEW TYPE OF HYBRID ELEMENTS FOR SHELLS OF REVOLUTION SUBJECTED TO ARBITRARY LOADS[J].Acta Mechnica Solida Sinica,1990,11(1):34-46. |
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| Authors: | Ren Yongjian Ding Haojiang Hu Haichang Zhejiang University |
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| Institution: | Ren Yongjian; Ding Haojiang; Hu Haichang Zhejiang University |
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| Abstract: | The generalized variational principle with two-fieild variables, the resultant-stresses and displacements, is derived from the Reissner principle of elasticity in curvilinear coordinates of a revolution shell. Based on which, a new type of hybrid elements with independent transverse rotations are formulated for revolution shells subjected to harmonic external loads. The resultant-stress interpolations are selected carefully so that the shear part of the element stiffness contains the Kirchhoff hypothesis for thin shells and element stiffness matrices have correct ranks. The elements are free from shear locking and spurious kinematic modes. Numerical examples show that the new elements have the advantage of good perfomance for thin and moderately-thick revolution shells. |
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| Keywords: | Variational principle Shells of revolution Finite element |
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