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| EXACT ANALYSIS OF WAVE PROPAGATION IN AN INFINITE RECTANGULAR BEAM | |
| 引用本文： | 孙卫明,杨光松,李东旭. EXACT ANALYSIS OF WAVE PROPAGATION IN AN INFINITE RECTANGULAR BEAM[J]. 应用数学和力学(英文版), 2004, 25(7): 768-778. DOI: 10.1007/BF02437568 |
| 作者姓名： | 孙卫明 杨光松 李东旭 |
| 作者单位： | [1]InstituteofEngineeringMechanics,BeijingJiaotongUniversity,Beijing100044,P.R.China [2]ThirdInstitute,SecondArtilleryAcademyofEquipment,Beijing100085,P.R.China [3]CollegeofAerospaceandMaterialEngineering,NationalUniversityofDefenceTechnology,Changsha410073,P.R.China |
| 基金项目： | theNationalAdvancedTechnologyResearchDevelopmentFoundationofChina |
| 摘 要： | The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam. Initially, by solving the three-dimensional elastodynamic equations a general analytic solution was derived for wave motion within the beam. And then for the beam with stress-free boundaries, the propagation characteristics of elastic waves were presented. This accurate wave propagation model lays a solid foundation of simultaneous control of coupled waves in the beam. |
| 关 键 词： | 傅立叶级数 精确分析 行波 弹性力学 主动控制 |
| 收稿时间： | 2002-06-05 |
Exact analysis of wave propagation in an infinite rectangular beam |
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| Sun Wei-ming,Yang Guang-song,Li Dong-xu. Exact analysis of wave propagation in an infinite rectangular beam[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(7): 768-778. DOI: 10.1007/BF02437568 | |
| Authors: | Sun Wei-ming Yang Guang-song Li Dong-xu |
| Affiliation: | 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P. R. China;Department of Nuclear Science and Engineering, Naval University of Engineering, Wuhan 430033, P.R. China 2. Third Institute, Second Artillery Academy of Equipment, Beijing 100085, P.R.China 3. College of Aerospace and Material Engineering, National University of Defence Technology, Changsha 410073, P.R. China |
| Abstract: | The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam.Initially,by solving the three-dimensional elastodynamic equations a general analytic solution was derived for wave motion within the beam.And then for the beam with stress-free boundaries,the propagation characteristics of elastic waves were presented.This accurate wave propagation model lays a solid foundation of simultaneous control of coupled waves in the beam. |
| Keywords: | infinite rectangular beam wave propagation exact analysis Fourier series traveling wave active control |
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