半解析有限元方法在超声波传播模拟中的应用  

SEMI-ANALYTICAL FINITE ELEMENT METHOD IN THE APPLICATION OF THE ULTRASONIC PROPAGATION SIMULATION

作　　者：李忠芳[1] 

机构地区：[1]安徽科技学院机械工程学院,凤阳233100

出　　处：《机械强度》2015年第3期413-417,共5页Journal of Mechanical Strength

基　　金：安徽科技学院自然科学研究项目(ZRC2014435);安徽省科技攻关计划重大项目(1301031030)资助~~

摘　　要：半解析有限元法是指在空间域使用有限元法离散,在时间域使用精细积分法求解问题的方法。其实施方法有两种,一种是先处理时间域,再处理空间域;一种是先处理空间域,再处理时间域。这种方法因其高精确度和广泛的适用性得到了大量的研究和应用。将其应用到超声波传播的数值模拟中,在多个不同的角度对计算结果进行了分析。分析结果显示,半解析有限元方法适用于超声波传播的模拟,计算精度高,稳定性高。The semi-analytical finite element method is a method that use the finite element method to discrete the structure in the spatial domain, and then use the precise integration method in time domain to solve the problem. There are two ways of carrying out the method： one is processing time domain first, and then deal with spatial domain; the other is to deal with spatial domain first, and then time domain again. Because of its high precision and wide applicability, this method got a number of research and applications. In this paper, its application to the numerical simulation of propagation of ultrasonic, in a number of different angles to the calculation result is analyzed. The analysis results show that semi-analytical finite element method is suitable for the simulation of ultrasonic transmission, and it has high precision, high stability in the calculation.

关 键 词：半解析有限元 超声波 数值模拟 

分 类 号：O302[理学—力学]