Inertial and elastic properties of general composite beams

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2024-11-17 DOI:10.1016/j.compstruct.2024.118690

Wenbin Yu

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引用次数: 0

Abstract

Slender composite structures can be modeled using engineering beam models with properties computed using a cross-sectional analysis program, such as VABS. These properties are given in terms of the mass matrix, stiffness matrix, and compliance matrix in a general coordinate system. The invariance of strain energy and kinetic energy is employed to rigorously transform sectional properties into different coordinate systems with parallel shifts and rotations. Additionally, the computation of commonly used inertial properties (mass center, principal inertial axes, and mass moments of inertia) from the mass matrix, and commonly used elastic properties (extension stiffness, bending stiffness, torsion stiffness, tension center, shear center, principal bending axes, principal shear axes, etc.) from the compliance matrix, is elucidated. The elastic properties are given for both the Timoshenko model and the Euler–Bernoulli model. The definitions for shear center and twist center are clarified and consistently generalized for composite beams. Isotropic homogeneous beams are used to illustrate how to relate commonly used engineering beam properties with the compliance matrix and the stiffness matrix for composite beams. Finally, engineering beam properties necessary for general-purpose aeromechanical analysis programs such as CAMRAD II are derived from the properties computed by VABS.

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一般复合梁的惯性和弹性特性

细长的复合材料结构可以使用工程梁模型进行建模，其属性可通过截面分析程序（如 VABS）计算得出。这些属性以一般坐标系中的质量矩阵、刚度矩阵和顺应矩阵的形式给出。利用应变能和动能的不变性，可将截面属性严格转换到具有平行移动和旋转的不同坐标系中。此外，还阐明了根据质量矩阵计算常用惯性特性（质量中心、主要惯性轴和质量惯性矩）的方法，以及根据顺应矩阵计算常用弹性特性（拉伸刚度、弯曲刚度、扭转刚度、拉伸中心、剪切中心、主要弯曲轴、主要剪切轴等）的方法。Timoshenko 模型和 Euler-Bernoulli 模型的弹性特性均已给出。明确了剪力中心和扭转中心的定义，并对复合梁进行了统一归纳。各向同性均质梁用于说明如何将常用的工程梁属性与复合梁的顺应矩阵和刚度矩阵联系起来。最后，从 VABS 计算出的属性推导出通用航空力学分析程序（如 CAMRAD II）所需的工程梁属性。

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

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.