A NUMERICAL APPROACH TO CALCULATE MULTIVARIATE TRANSCENDENTAL EQUATIONS IN COMPLEX DOMAIN

摘要：

A numerical approach to calculate multivariate transcendental equations in complex number domain that can be applied to solve dispersion equation is presented here.The mathematical derivations of the convergence of the moduli of the equations around null point are presented strictly,when the transcendental equation is univariate.Similar process also applies to the case when the equations are multivariate.For multivariate equations,the forms of scanning elements are chosen according to the numbers of the variables and the dimensions of the solution.To validate the proposed approach,we calculate the dispersion cures of wave propagation in an infinite piezoelectric plate.As a result,the three-dimensional dispersion curves of complex wave numbers and real frequencies are obtained correctly.

关键词： Numerical approach Convergence of the moduli Dispersion equation Complex domain

作者: Feng ZHU Zheng-hua QIAN Bin WANG

作者单位: State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

会议类型: 国际会议

会议名称: The 2016 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2016全国压电和声波理论及器件技术研讨会)

会议地点: 西安

会议语种:英文

页码: 49-52

在线出版日期: 2016-10-21（万方平台首次上网日期，不代表论文的发表时间）