A hybrid approach for simulating fluid loading effects on structures using experimental modal analysis and the boundary element method

2015 ◽  
Vol 138 (5) ◽  
pp. 3073-3080 ◽  
Author(s):  
Micah R. Shepherd ◽  
John B. Fahnline ◽  
Tyler P. Dare ◽  
Stephen A. Hambric ◽  
Robert L. Campbell
Keyword(s):  
Boundary Element Method ◽  
Modal Analysis ◽  
Boundary Element ◽  
Hybrid Approach ◽  
Experimental Modal Analysis ◽  
Fluid Loading ◽  
Loading Effects ◽  
Element Method

scholarly journals Coupling the Cell Method with the Boundary Element Method in Static and Quasi–Static Electromagnetic Problems

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1426
Author(s):  
Federico Moro ◽  
Lorenzo Codecasa
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Hybrid Approach ◽  
Iterative Solution ◽  
Third Order ◽  
Electromagnetic Problems ◽  
Cell Method ◽  
Hybrid Approaches ◽  
Complex Topology ◽  
Element Method

A unified discretization framework, based on the concept of augmented dual grids, is proposed for devising hybrid formulations which combine the Cell Method and the Boundary Element Method for static and quasi-static electromagnetic field problems. It is shown that hybrid approaches, already proposed in literature, can be rigorously formulated within this framework. As a main outcome, a novel direct hybrid approach amenable to iterative solution is derived. Both direct and indirect hybrid approaches, applied to an axisymmetric model, are compared with a reference third-order 2D FEM solution. The effectiveness of the indirect approach, equivalent to the direct approach, is finally tested on a fully 3D benchmark with more complex topology.

Acceleration of Modal Analysis by FMM Based on DRBEM

2012 ◽  
Author(s):  
Yixiong Wei ◽  
Qifu Wang ◽  
Yingjun Wang ◽  
Yunbao Huang ◽  
Linchi Zhang
Keyword(s):  
Boundary Element Method ◽  
Modal Analysis ◽  
Boundary Element ◽  
High Efficiency ◽  
Fast Multipole Method ◽  
Matrix Multiplication ◽  
Time Dimension ◽  
Hessenberg Matrix ◽  
Low Efficiency ◽  
Element Method

This paper proposes a novel algorithm to accelerate the process of modal analysis in 3D elastodynamic problems in BEM (boundary element method) with high accuracy. Because of low efficiency and high cost, conventional BEM is rarely used for solving 3D elastodynamics problems in engineering problems. With applying the DRBEM (dual reciprocity boundary element method) to form new integral equations of 3D elastodynamics problems to reduce time complexity by using reciprocity method twice, we introduce modified FMM (fast multipole method) to simplify the computation process and improve the efficiency from O(n2) to O(n) in matrix multiplication. The main features in this method are: (1) Position Location (PL) algorithm is used to eliminate one layer of nested loops in conventional FMM, and which achieve a good performance in efficiency; (2) time dimension integrations in the element of matrices are canceled for high efficiency; (3) instead of the interaction between points, we apply point to element interaction method for saving plenty of the CPU cost in modified FMM; (4) it does not need to compute complex dynamic fundamental solutions which are necessary in conventional BEM. In this algorithm, the corresponding eigenvalue problem is solved by Hessenberg matrix and QR reduction algorithm iteratively. We have tested our method in numerical examples during last section, and have observed significant optimal results in efficiency and accuracy.

scholarly journals Modification of boundary condition for the optimization of natural frequencies of plate structures with fluid loading

2018 ◽  
Vol 10 (8) ◽  
pp. 168781401879600 ◽  
Author(s):  
Dayi Ou ◽  
Cheuk Ming Mak
Keyword(s):  
Genetic Algorithm ◽  
Finite Element Method ◽  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Conditions ◽  
Boundary Element ◽  
Natural Frequencies ◽  
Fluid Loading ◽  
Loaded Plate ◽  
Element Method

A finite element method, boundary element method, and genetic algorithm combined method is developed for the optimization of natural frequencies of fluid-loaded plates. In this method, the coupled finite element method–boundary element method is used for the free flexural vibration analysis of plates with arbitrary fluid loading effects and arbitrary elastic boundary conditions, and the genetic algorithm method is combined with the finite element method–boundary element method for searching the optimal values of plate’s boundary parameters. By using this method, multiple natural frequencies of a given fluid-loaded plate can be optimized simultaneously to different target values. The coupled finite element method–boundary element method is first validated by comparing with earlier published results. The proposed optimization method is then applied to the optimal boundary condition design of four different cases. The results show natural frequencies of a fluid-loaded plate are sensitive to its boundary conditions. The possibility of optimizing the natural frequencies of a fluid-loaded plate by modifying boundary conditions is demonstrated, as well as the effectiveness of the proposed method as a structural optimization tool. According to the authors’ knowledge, this study is the first attempt of optimizing fluid-loaded plate natural frequencies by considering arbitrary boundary conditions as optimization variables.

Modal analysis of anisotropic plates using the boundary element method

2011 ◽  
Vol 35 (12) ◽  
pp. 1248-1255 ◽  
Author(s):  
William Portilho Paiva ◽  
Paulo Sollero ◽  
Eder Lima Albuquerque
Keyword(s):  
Boundary Element Method ◽  
Modal Analysis ◽  
Boundary Element ◽  
Anisotropic Plates ◽  
Element Method
Sign in / Sign up

Export Citation Format

Share Document