A comprehensive study on the critical damping characteristics of vibrating functionally graded sandwich plates with general visco-Winkler–Pasternak foundations

IF 4.4 3区工程技术 Q1 ENGINEERING, CIVIL Archives of Civil and Mechanical Engineering Pub Date : 2025-02-27 DOI:10.1007/s43452-025-01145-2

Pham Van Vinh, Hamid M. Sedighi, Ömer Civalek

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Abstract

In this study, a general visco-Winkler–Pasternak foundation will be created to analyze the vibrations of functionally graded sandwich plates. The visco-Winkler–Pasternak foundations serve as the base for the suggested viscoelastic foundation, which takes into account a new damping coefficient related to the shear layer’s shear interactions. The new viscoelastic foundation model can be easily reduced to other well-known visco- and elastic foundation models. Establishing the governing equations of motion is achieved using the simple higher-order shear deformation theory and Hamilton's principle. Applying analytical solutions to these equations involves solving them with different boundary conditions. The proposed model is validated through some comparison studies. To demonstrate the effects of certain parameters on the vibration behaviors of functionally graded sandwich plates resting on general visco-Winkler–Pasternak foundations, a parametric study is performed. The numerical results section presents some novel findings and emphasizes the importance of two damping coefficients on plate vibration behaviors.

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带一般粘-温克勒-帕斯捷尔纳克地基的振动功能分级夹层板临界阻尼特性的综合研究

在本研究中，将建立一个通用的粘度-温克勒-帕斯捷尔纳克基础来分析功能梯度夹层板的振动。粘弹性基础考虑了与剪切层的剪切相互作用有关的一个新的阻尼系数，作为粘弹性基础的基础。新的粘弹性基础模型可以很容易地简化为其他已知的粘弹性基础模型。利用简单的高阶剪切变形理论和哈密顿原理建立了运动控制方程。对这些方程应用解析解需要在不同的边界条件下求解。通过一些比较研究验证了该模型的有效性。为了证明某些参数对一般粘-温克勒-帕斯捷尔纳克基础上功能梯度夹层板振动行为的影响，进行了参数化研究。数值结果部分给出了一些新的发现，并强调了两种阻尼系数对板振动特性的重要性。

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来源期刊

Archives of Civil and Mechanical Engineering 工程技术-材料科学：综合

CiteScore

6.80

自引率

9.10%

发文量

201

审稿时长

4 months

期刊介绍： Archives of Civil and Mechanical Engineering (ACME) publishes both theoretical and experimental original research articles which explore or exploit new ideas and techniques in three main areas: structural engineering, mechanics of materials and materials science. The aim of the journal is to advance science related to structural engineering focusing on structures, machines and mechanical systems. The journal also promotes advancement in the area of mechanics of materials, by publishing most recent findings in elasticity, plasticity, rheology, fatigue and fracture mechanics. The third area the journal is concentrating on is materials science, with emphasis on metals, composites, etc., their structures and properties as well as methods of evaluation. In addition to research papers, the Editorial Board welcomes state-of-the-art reviews on specialized topics. All such articles have to be sent to the Editor-in-Chief before submission for pre-submission review process. Only articles approved by the Editor-in-Chief in pre-submission process can be submitted to the journal for further processing. Approval in pre-submission stage doesn''t guarantee acceptance for publication as all papers are subject to a regular referee procedure.