Virtual Vibration Correlation Technique (VCT) for Nonlinear Analysis of Metallic and Composite Structures

A. Pagani, R. Augello, E. Carrera
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引用次数: 3

Abstract

An important role in the design of structure is represented by the buckling analysis. The loading and service conditions, in which structures usually work, may significantly afflict their equilibrium state. This aspect often forces the design engineers to perform an accurate buckling analysis, in order to calculate critical loads of the structure. In fact, this critical load causes a sudden change of the structure, leading to a radical decrease in the loadcarrying capability. For these reasons, buckling analysis of beam-columns has been widely investigated in the past and recent years. One of the most important experimental technology to calculate the critical buckling load of structures if represented by the Vibration Correlation Technique (VCT). It allows determining equivalent boundary conditions and buckling load for several types of structures and its strength is represented by the fact that it is a non-destructive methodology: essentially, the stability loads were determined by interpolating, until singularity, the natural frequency of the structure subjected to progressive higher loadings, without reaching the instability point. VCT is already widely used for beam, plate and shell structures. This paper intends to assess a numerical simulation of the experimental data needed for the Vibration Correlation Technique. The solution proposed is developed in the domain of the Carrera Unified Formulation (CUF), according to which theories of structures can degenerate into a generalized kinematics that makes use of an arbitrary expansion of the generalized variables. Moreover, in order to reproduce results obtained in an experimental way, when large displacement and rotations may occur, geometrical nonlineatities have been taken into account. Thus, a finite element approximation is used along with a path-following method to perform nonlinear analyses. Different types of structures have been analyzed, made with metallic and composite materials, and some results are compared with others found in the VCT literature. Results show how this methodology can well evaluate the natural frequencies on the structure in a geometrical nonlinear framework, and so also the critical buckling load.
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金属和复合材料结构非线性分析的虚拟振动相关技术
屈曲分析在结构设计中起着重要的作用。结构通常所处的荷载和使用条件对结构的平衡状态有很大的影响。这方面往往迫使设计工程师进行精确的屈曲分析,以计算结构的临界载荷。事实上,这个临界载荷会引起结构的突然变化,导致承载能力急剧下降。由于这些原因,梁柱的屈曲分析在过去和近年来得到了广泛的研究。振动相关技术(VCT)是计算结构临界屈曲载荷的重要实验技术之一。它允许确定几种类型结构的等效边界条件和屈曲载荷,其强度由它是一种非破坏性方法的事实来表示:本质上,稳定载荷是通过插值确定的,直到奇点,结构的固有频率受到渐进式更高的载荷,而不会达到不稳定点。VCT已广泛应用于梁、板、壳结构。本文拟对振动相关技术所需的实验数据进行数值模拟。所提出的解是在Carrera统一公式(CUF)领域中发展起来的,根据该公式,结构理论可以退化为利用广义变量的任意展开的广义运动学。此外,为了再现实验得到的结果,当可能发生大位移和旋转时,考虑了几何非线性。因此,采用有限元近似法和路径跟踪法来进行非线性分析。用金属材料和复合材料对不同类型的结构进行了分析,并将一些结果与VCT文献中的其他结果进行了比较。结果表明,该方法可以很好地计算几何非线性框架结构的固有频率,也可以计算临界屈曲载荷。
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