An isogeometric approach to free vibration analysis of bi-directional functionally graded porous doubly-curved shallow microshells with variable length-scale parameters

IF 2.9 3区 工程技术 Q2 ENGINEERING, CIVIL Frontiers of Structural and Civil Engineering Pub Date : 2024-01-23 DOI:10.1007/s11709-023-0021-y
Khuat Duc Duong, Dao Nhu Mai, Phung Van Minh, Tran Van Ke
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Abstract

This study uses iso-geometric investigation, which is based on the non-uniform rational B-splines (NURBS) basis function, to investigate natural oscillation of bi-directional functionally graded porous (BFGP) doubly-curved shallow microshells placed on Pasternak foundations with any boundary conditions. The characteristics of the present material vary in both thickness and axial directions along the x-axis. To be more specific, a material length-scale coefficient of the microshell varies in both thickness and length directions as the material’s mechanical properties. One is able to develop a differential equation system with varying coefficients that regulate the motion of BFGP double-curved shallow microshells by using Hamilton principle, Kirchhoff–Love hypothesis, and modified couple stress theory. The numerical findings are reported for thin microshells that are spherical, cylindrical, and hyperbolic paraboloidal, with a variety of planforms, including rectangles and circles. The validity and effectiveness of the established model are shown by comparing the numerical results given by the proposed formulations with previously published findings in many specific circumstances. In addition, influences of length scale parameters, power-law indexes, thickness-to-side ratio, and radius ratio on natural oscillation responses of BFGP microshells are investigated in detail.

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对长度尺度参数可变的双向功能分级多孔双曲浅微壳进行自由振动分析的等距测量法
本研究采用基于非均匀有理 B-样条曲线(NURBS)基础函数的等距几何研究方法,研究了放置在帕斯捷尔纳克地基上的双向功能分级多孔(BFGP)双曲浅微壳在任何边界条件下的自然振荡。本材料的特性在厚度和沿 x 轴的轴向均有变化。更具体地说,微壳的材料长度尺度系数在厚度和长度方向上随着材料的机械特性而变化。利用汉密尔顿原理、基尔霍夫-洛夫假设和修正的耦合应力理论,我们可以建立一个具有不同系数的微分方程系统,以调节 BFGP 双曲面浅微壳的运动。报告了对球形、圆柱形和双曲抛物面等多种平面形状的薄微壳的数值研究结果。在许多特定情况下,通过比较所提公式给出的数值结果和以前发表的研究结果,证明了所建立模型的有效性和有效性。此外,还详细研究了长度尺度参数、幂律指数、厚边比和半径比对 BFGP 微壳自然振荡响应的影响。
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来源期刊
CiteScore
5.20
自引率
3.30%
发文量
734
期刊介绍: Frontiers of Structural and Civil Engineering is an international journal that publishes original research papers, review articles and case studies related to civil and structural engineering. Topics include but are not limited to the latest developments in building and bridge structures, geotechnical engineering, hydraulic engineering, coastal engineering, and transport engineering. Case studies that demonstrate the successful applications of cutting-edge research technologies are welcome. The journal also promotes and publishes interdisciplinary research and applications connecting civil engineering and other disciplines, such as bio-, info-, nano- and social sciences and technology. Manuscripts submitted for publication will be subject to a stringent peer review.
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