Modeling of Non-Linear Vibration Behavior of Flexible Structures Using Mesh-Free Methods

Abstract

Specifically, in aerospace and civil engineering, flexible structures significantly contribute to their engineering. There is a need to understand their non linear vibration behaviour to ensure safety and optimum performance. For such structures, long tradition has dictated the use of traditional finite element methods (FEM). Nonetheless, mesh free methods have emerged as a powerful alternative to the mesh based methods, with unique advantages in complex geometries modeling and non linear dynamics. The non linear vibration behavior of flexible structures is studied using the latest developments in mesh free modeling techniques, that are discussed in this article. In recent years there has been a strong interest in studying non linear vibrations in flexible structures, as lightweight, high performance materials are becoming ever increasingly essential in economic sectors including aerospace, automotive, and renewable energy. Traditional linear analysis methods are insufficient for predicting behavior of structures that become more complex and operate under severe conditions. As a result, there has been a significant amount of research directed towards the creation of such advanced numerical methods which are capable of resolving the intricate non linear dynamics of these systems. Conventional mesh based approaches are limited, and has developed mesh free approaches as a promising solution. These methods allow for a greater flexibility in the treatment of large deformations, discontinuities, complex geometries and eliminate the need for a predefined mesh. The advancements in mesh free modeling techniques for analysis of non linear vibrations in flexible structures are discussed in this article with respect to their advantages and challenges to efficiently apply them in different engineering domains.