| 波在不同组分功能梯度材料介质中的传播特性 |
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| 引用本文： | 葛超峰,程红梅.波在不同组分功能梯度材料介质中的传播特性[J].济南大学学报(自然科学版),2012(3):326-330. |
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| 作者姓名： | 葛超峰 程红梅 |
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| 作者单位： | 中国矿业大学力学与建筑工程学院;中国矿业大学深部岩土力学与地下工程国家重点实验室 |
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| 基金项目： | 国家青年科学基金(10802091);国家重点基础研究发展计划(973)(2011CB201205,2010CB226804) |
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| 摘 要： | 采用有限体积法构造了功能梯度材料中波动方程的显式差分方程,结合冻结系数方法和Fourier方法证明了差分方程是条件稳定的,并得到了差分方程的稳定性条件,然后通过与已有结果的对比证明了差分方程的正确性;计算了不同组分功能梯度材料板在瞬态位移激励下的动态响应,分析了组分幂函数变化对波到达末端时间、波幅、应力等的影响。
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| 关 键 词： | 波 功能梯度材料 不同组分 有限体积法 差分方程 |
Characteristics of Wave Propagation in Functionally Graded Materials with Variant Component Distributions |
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| GE Chao-fenga,CHENG Hong-mei.Characteristics of Wave Propagation in Functionally Graded Materials with Variant Component Distributions[J].Journal of Jinan University(Science & Technology),2012(3):326-330. |
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| Authors: | GE Chao-fenga CHENG Hong-mei |
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| Institution: | a,b(a.School of Mechanics,Architecture and Civil Engineering;b.State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou 221008,China) |
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| Abstract: | The dynamic response of functionally graded material plates with different material component distributions under transient excitations are analyzed using finite volume method.First,a differential equation of quadratic convergence is constructed to do analysis.Then,a detailed convergence analysis is conducted to ascertain the stability criteria of the differential equation.To validate the numerical scheme,we calculated an identical problem to that in a reference.And both the results agree well with each other.Finally,the dynamic responses of functionally graded material plates with different material component distributions under transient excitations are analyzed.It is known from the results that different material component distributions have a significant influence on the dynamic response of functionally graded material plate. |
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| Keywords: | wave functionally graded material material componet distribution finite volume method differential equation |
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