纪念华东水利学院建院70周年学术活动:学术报告通知(2022-90)


发布时间: 2022-11-30     浏览次数: 244

报告题目:Scaled boundary finite element method - application to mid-frequency acoustics of cavities and band gap computations in phononic materials

  人:Professor Sundararajan Natarajan (Indian Institute of Technology - Madras, India)

报告时间:2022年12月3日(周六)16:30

报告地点:线上ZOOM会议  

               会议号:865 5345 2257  密码:202 212

主办单位:河海大学力学与材料学院动力学与控制研究所

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报告简介:

In this talk, the application of the scaled boundary finite element method (SFBFEM) to study acoustic problems in the mid-frequency range will be discussed. The SBFEM shares the advantages of both the finite element method (FEM) and the boundary element method (BEM). Like the FEM, it does not require the fundamental solution and similar to the BEM only the boundary is discretized, thus reducing the spatial dimensionality by one. The solution within the domain is represented analytically whilst on the boundary it is represented by finite elements. Different choices of boundary representations are possible and we explore both Lagrangian description and iso-geometric representation. The proposed framework is verified against closed-form solutions for a simple two-dimensional cavity geometry. Direct comparisons are also made with conventional FEM based on Lagrangian descriptions. The improved accuracy and reduced computational time of this formulation will be demonstrated using a two-dimensional car cavity model (from Richards and Jha, Journal of Sound and Vibration, vol. 63, pp. 61-72). The improvements can be attributed to the semi-analytical formulation combined with the boundary discretization. Later, the SBFEM is applied to compute band gaps of phononic materials.

报告人简介:

Dr. Sundararajan Natarajan is a Professor in the Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai. He obtained the degree of Bachelor of Engineering from Bharathiar University, India and the degree of Philosophy from Cardiff University, Wales, UK. His research interests include moving boundary problems, discretization techniques such as Partition of Unity methods, smoothed FEM, Virtual element method, isogeometric analysis and meshless methods, composite materials and functionally graded materials.