使用无网格局部彼得罗夫-加勒金（MLPG）方法对具有二维非线性级配模式的三维-FG 圆柱厚板进行三维动态分析

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-09-23 DOI:10.1016/j.enganabound.2024.105964

Seyed Mojtaba Mosavi Nezhad , Amirkeivan Shafiei

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引用次数: 0

摘要

本研究介绍了在具有双向分级模式的三维-FG 圆柱厚板中的三维动态波传播分析。为此，采用了无网格局部 Petrov-Galerkin (MLPG) 方法来求解动态平衡方程。此外，还通过具有径向和轴向体积分数的非线性模型模拟了 FGM 的机械特性。采用拉普拉斯变换和 MLPG 方法处理与时间相关的方程，同时采用 Talbot 方法将位移从拉普拉斯域转移到时域。为了获得最佳结果，对支撑域的大小和径向基函数的参数进行了求解；同时，针对不同的分级模式和时间瞬时，对位移在径向、环向和轴向的弹性波传播进行了分析。本方法对具有双向分级模式的三维-FG 圆柱形厚板的波传播和冲击分析具有较高的精度和效率，从而为更灵活的设计提供了基础。

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3D dynamic analysis in a 3D-FG cylindrical thick panel with two-dimensional nonlinear grading patterns using meshless local Petrov – Galerkin (MLPG) method

This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.