Free vibration analysis of bio-inspired helicoid laminated composite plates resting on elastic foundation using isogeometric analysis and artificial neural network

IF 2.1 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Mechanics of Time-Dependent Materials Pub Date : 2023-11-27 DOI:10.1007/s11043-023-09649-1

Ngoc-Tu Do, Truong Thanh Nguyen, Trung Thanh Tran, Pham Binh Le, Quoc-Hoa Pham

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Abstract

The main aim of this study is to further extend isogeometric analysis (IGA) based on higher-order shear deformation theory (HSDT) with Soldatos’s continuous function \(f(z)\) for examining the free vibration characteristics of bio-inspired helicoid laminated composite (BiHLC) plates resting on elastic foundation (EF). The foundation follows Pasternak’s model with springer stiffness (\(k_{1}\)) and shear stiffness (\(k_{2}\)). The governing equation is derived by using Hamilton’s principle. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. In addition, an artificial neural network (ANN) model is set up by using Matlab software to accurately predict the natural frequencies of BiHLC plates without running code. Finally, some examples are conducted to provide novel results in the free vibration of BiHLC plates with different values of geometrical dimensions, material properties, boundary conditions (BCs), and foundation stiffness.

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基于等几何分析和人工神经网络的弹性基础仿生螺旋面复合材料层合板自由振动分析

本研究的主要目的是利用Soldatos的连续函数\(f(z)\)进一步扩展基于高阶剪切变形理论(HSDT)的等几何分析(IGA)，以研究基于弹性基础(EF)的仿生螺旋面层合复合材料(BiHLC)板的自由振动特性。基础遵循帕斯捷尔纳克的弹簧刚度(\(k_{1}\))和剪切刚度(\(k_{2}\))模型。利用汉密尔顿原理推导了控制方程。通过将所得结果与已有文献的结果进行比较，证实了所提公式的有效性。此外，利用Matlab软件建立人工神经网络(ANN)模型，无需运行代码即可准确预测bihplc板的固有频率。最后，通过算例对具有不同几何尺寸、材料特性、边界条件和基础刚度值的BiHLC板的自由振动进行了分析，得到了新的结果。

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来源期刊

Mechanics of Time-Dependent Materials 工程技术-材料科学：表征与测试

CiteScore

4.90

自引率

8.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.