| Laplace变换法及其在粘弹性波中传播的应用 |
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| 引用本文： | 李想,陈国平,胡文军,谢蒙优. Laplace变换法及其在粘弹性波中传播的应用[J]. 计算力学学报, 2020, 37(5): 637-645 |
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| 作者姓名： | 李想 陈国平 胡文军 谢蒙优 |
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| 作者单位： | 西南科技大学土木工程与建筑学院,绵阳621010;中国工程物理研究院总体工程研究所,绵阳621900 |
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| 摘 要： | 针对波传播分析理论的发展历程进行了简要的综述，详细介绍了几种处理粘弹性波传播问题的分析方法，重点讲解Laplace变换法以及Laplace变换在粘弹性波中的应用，对比分析几种方法在各自应用上的优劣，由于Laplace变换法能准确地描述应力波在任意时刻、任意点的波动情况，在处理大尺寸混凝土类构件中应力波传播问题时具有其独特的优势。
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| 关 键 词： | 粘弹性 Laplace变换 应力波传播 |
| 收稿时间： | 2019-10-11 |
| 修稿时间： | 2019-12-10 |
Laplace transform and its application in viscoelastic wave propagation |
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| LI Xiang,CHEN Guo-ping,HU Wen-jun,XIE Meng-you. Laplace transform and its application in viscoelastic wave propagation[J]. Chinese Journal of Computational Mechanics, 2020, 37(5): 637-645 |
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| Authors: | LI Xiang CHEN Guo-ping HU Wen-jun XIE Meng-you |
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| Affiliation: | College of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China,College of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China,Institute of General Engineering, China Academy of Engineering Physic, Mianyang 621900, China and College of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China |
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| Abstract: | The development of analytical theory of wave propagation is briefly reviewed and several analysis methods dealing with viscoelastic wave propagation are introduced in detail.The Laplace transform method and its application in viscoelastic wave propagation and its advantage and disadvantage are described,compared and analyzed.The comparison shows that Laplace transform method has its unique advantage in dealing with the problems of stress wave propagation in large concrete components as it can accurately describe the fluctuation of stress wave at any time and any point. |
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| Keywords: | viscoelasticity Laplace transform stress wave propagation |
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