Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
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DOI：
10.3970/cmes.2006.013.103
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发表时间：
2006-05
影响因子：
2.4
通讯作者：
J. Sládek;V. Sládek;P. Wen;M. Aliabadi
中科院分区：
文献类型：
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作者：
J. Sládek;V. Sládek;P. Wen;M. Aliabadi
采用无网格局部Petrov-Galerkin（MLPG）方法求解Reissner理论描述的剪切变形扁壳弯曲问题。静态和动态载荷都被考虑。对于瞬态弹性动力学情况，拉普拉斯变换用于消除场变量的时间依赖性。一个弱制定单位测试功能的控制方程组转化为局部积分方程的平均表面的壳的局部子域。节点随机分布在该表面上，每个节点被应用局部积分方程的圆形子域包围。采用基于移动最小二乘（MLS）方法的无网格近似实现。从局部边界积分方程计算未知的拉普拉斯变换量。随时间变化的值是由Stehfest的反演技术。关键词：Reissner理论，局部边界积分方程，Laplace变换，Stehfest反演，MLS近似，静态和冲击载荷
A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test function transforms the set of governing equations into local integral equations on local subdomains in the mean surface of the shell. Nodal points are randomly spread on that surface and each node is surrounded by a circular subdomain to which local integral equations are applied. The meshless approximation based on the Moving LeastSquares (MLS) method is employed for the implementation. Unknown Laplace-transformed quantities are computed from the local boundary integral equations. The time-dependent values are obtained by the Stehfest’s inversion technique. keyword: Reissner theory, local boundary integral equations, Laplace-transform, Stehfest’s inversion, MLS approximation, static and impact loads