Artificial boundary conditions for Euler–Bernoulli beam equation 被引量：1

Artificial boundary conditions for Euler–Bernoulli beam equation

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摘要 In a semi-discretized Euler-Bernoulli beam equa- tion, the non-nearest neighboring interaction and large span of temporal scales for wave propagations pose challenges to the effectiveness and stability for artificial boundary treat- ments. With the discrete equation regarded as an atomic lattice with a three-atom potential, two accurate artificial boundary conditions are first derived here. Reflection co- efficient and numerical tests illustrate the capability of the proposed methods. In particular, the time history treatment gives an exact boundary condition, yet with sensitivity to nu- merical implementations. The ALEX （almost EXact） bound- ary condition is numerically more effective. In a semi-discretized Euler-Bernoulli beam equa- tion, the non-nearest neighboring interaction and large span of temporal scales for wave propagations pose challenges to the effectiveness and stability for artificial boundary treat- ments. With the discrete equation regarded as an atomic lattice with a three-atom potential, two accurate artificial boundary conditions are first derived here. Reflection co- efficient and numerical tests illustrate the capability of the proposed methods. In particular, the time history treatment gives an exact boundary condition, yet with sensitivity to nu- merical implementations. The ALEX （almost EXact） bound- ary condition is numerically more effective.

作者 Shao-Qiang Tang Eduard G.Karpov

机构地区 HEDPS Department of Civil and Materials Engineering

出处《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第5期687-692,共6页 力学学报（英文版）

基金 supported by the National Natural Science Foundation of China(11272009) National Basic Research Program of China(2010CB731503) U.S. National Science Foundation(0900498)

关键词 Euler-Bernoulli beam. Artificial boundary con- dition - Wave propagation Euler-Bernoulli beam. Artificial boundary con- dition - Wave propagation

分类号 O481 [理学—固体物理]

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