A Finite Difference Solution of a Simply Supported Beam of Orthotropic Composite Materials Using Displacement Potential Formulation

Q4 Engineering

工程设计学报 Pub Date : 2014-02-13 DOI:10.1155/2014/961503

S. D. Nath

引用次数: 4

Abstract

Here an efficient displacement potential formulation based finite difference technique is used to solve the elastic field of a simply supported beam of orthotropic composite materials. A simply supported beam made of orthotropic composite material under uniformly distributed loading is considered and its elastic behaviors under such loading conditions are analyzed considering plane stress condition. The solutions of the problem satisfy the force equilibrium conditions as well as boundary conditions. For understanding the elastic behavior of a simply supported beam, the displacement and stress components of some important sections of the beam are shown graphically. Effects of different orthotropic composite materials on the solutions are also analyzed. Besides, at a particular section of the beam, the comparative analysis of the elastic field is carried out by using the FDM and FEM methods.

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用位移势公式求解正交各向异性复合材料简支梁的有限差分

本文采用基于位移势的有限差分法求解正交各向异性复合材料简支梁的弹性场。考虑均布荷载作用下正交各向异性复合材料简支梁的弹性特性，并考虑平面应力条件，分析了其在均布荷载作用下的弹性特性。该问题的解既满足力平衡条件，又满足边界条件。为了更好地理解简支梁的弹性特性，本文给出了简支梁的一些重要截面的位移和应力分量。分析了不同正交各向异性复合材料对溶液的影响。此外，在梁的特定截面上，采用FDM和FEM方法对弹性场进行了对比分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

工程设计学报 Engineering-Engineering (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

2447

审稿时长

14 weeks

期刊介绍： Chinese Journal of Engineering Design is a reputable journal published by Zhejiang University Press Co., Ltd. It was founded in December, 1994 as the first internationally cooperative journal in the area of engineering design research. Administrated by the Ministry of Education of China, it is sponsored by both Zhejiang University and Chinese Society of Mechanical Engineering. Zhejiang University Press Co., Ltd. is fully responsible for its bimonthly domestic and oversea publication. Its page is in A4 size. This journal is devoted to reporting most up-to-date achievements of engineering design researches and therefore, to promote the communications of academic researches and their applications to industry. Achievments of great creativity and practicablity are extraordinarily desirable. Aiming at supplying designers, developers and researchers of diversified technical artifacts with valuable references, its content covers all aspects of design theory and methodology, as well as its enabling environment, for instance, creative design, concurrent design, conceptual design, intelligent design, web-based design, reverse engineering design, industrial design, design optimization, tribology, design by biological analogy, virtual reality in design, structural analysis and design, design knowledge representation, design knowledge management, design decision-making systems, etc.