摘要
针对无限水域下的结构冲击响应问题,建立了基于PWA(平面波近似)总场公式和SBFEM(比例边界有限元)总场公式与FEM(有限元)耦合的结构响应分析方法。该方法分别采用PWA总场公式和SBFEM总场公式模拟无限域,FEM方程模拟水下结构。通过将其耦合,建立了PWA-FEM总场公式和SBFEM-FEM总场公式。通过数值算例,讨论了环向单元数量、无限域截断边界大小和形状对总场公式计算准确度的影响,比较了PWA-FEM总场公式和SBFEM-FEM总场公式的计算准确度。数值结果表明了总场公式用于模拟无限水域下结构冲击响应问题的可行性和准确性,且SBFEM-FEM总场公式模拟无限域时,可有效减小有限域离散范围,并对截断边界形状要求不高,适用范围更广,为水下冲击结构响应问题提供了一种有效可行的求解方法。
Aiming at the problem of structural shock responses in an infinite fluid,a structural response analysis method is established based on the PWA(plane wave approximation)total field formulation and the SBFEM(scaled boundary finite element method)total field formulation coupled with FEM(finite element method).This method uses the PWA total field formulation and the SBFEM total field formulation to simulate the infinite domain,and the FEM equation simulates the underwater structure.By coupling them,the PWA-FEM total field formulation and the SBFEM-FEM total field formulation are established.Through numerical examples,the influences of the number of elements in circular direction,the size and shape of the infinite field truncation boundary on the calculation accuracy of the total field formulation are discussed,and the calculation accuracy of the PWA-FEM total field formulation and that of the SBFEM-FEM total field formulation are compared.The numerical results show the feasibility and accuracy of the total field formulation for simulating the problem of structural shock responses in an infinite fluid.When the SBFEM-FEM total field formulation simulates the infinite domain,it can effectively reduce the discrete range of the finite domain,the requirements for the shape of the truncated boundary are not high,and the scope of application is wider.It provides an effective and feasible solution for the structural responses to underwater shock.
作者
张浩
赵梓斌
李上明
ZHANG Hao;ZHAO Zi-bin;LI Shang-ming(Institute of Systems Engineering,China Academy of Engineering Physics,Mianyang City,Mianyang,Sichuan 621999,China;Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province,Mianyang,Sichuan 621999,China)
出处
《工程力学》
EI
CSCD
北大核心
2021年第11期220-228,247,共10页
Engineering Mechanics
基金
国家自然科学基金项目(11272299)
NSAF基金项目(U153010026)
中国工程物理研究院科学技术发展基金项目(2015B0201026)
中国工程物理研究院重点学科项目“计算固体力学”。
