Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

An exact method for free vibration of beams and frameworks using frequency-dependent mass, elastic and geometric stiffness matrices

JR Banerjee - Computers & Structures, 2024 - Elsevier
The frequency-dependent mass, elastic and geometric stiffness matrices of an axially loaded
Bernoulli-Euler beam are developed through rigorous application of symbolic computation …

Frequency dependent mass and stiffness matrices of bar and beam elements and their equivalency with the dynamic stiffness matrix

JR Banerjee - Computers & Structures, 2021 - Elsevier
Starting from the solutions of the governing differential equations of motion in free vibration,
the frequency dependent mass and stiffness matrices of bar and beam elements have been …

Frequency-dependent mass, elastic and geometric stiffness matrices of an axially loaded Timoshenko-Ehrenfest beam with applications

JR Banerjee - Computers & structures, 2025 - Elsevier
Earlier research on the development of explicit algebraic expressions for the elements of the
frequency-dependent mass, elastic and geometric stiffness matrices for free vibration …

On the explicit evaluation of stress intensity factors in the hybrid boundary element method

NA Dumont, AAO Lopes - … & Fracture of Engineering Materials & …, 2003 - Wiley Online Library
The hybrid boundary element method, as based on the Hellinger‐Reissner potential for
assumed singular stress fields, is suited for the explicit mathematical description of high …

On the solution of generalized non‐linear complex‐symmetric eigenvalue problems

NA Dumont - International journal for numerical methods in …, 2007 - Wiley Online Library
This paper brings an attempt toward the systematic solution of the generalized non‐linear,
complex‐symmetric eigenproblem (K0− iωC1− ω2M1− iω3C2− ω4M2−···) ϕ= 0, with real …

Free Vibration of Timoshenko–Ehrenfest Beams and Frameworks Using Frequency-Dependent Mass and Stiffness Matrices

JR Banerjee - Journal of Vibration and Acoustics, 2022 - asmedigitalcollection.asme.org
The frequency-dependent mass and stiffness matrices of a Timoshenko–Ehrenfest beam are
developed through extensive application of symbolic computation. Explicit algebraic …

[PDF][PDF] General time-dependent analysis with the frequency-domain hybrid boundary element method

NA Dumont, RAP Chaves - Computer Assisted Mechanics and …, 2003 - academia.edu
The paper presents an attempt to consolidate a formulation for the general analysis of the
dynamic response of elastic systems. Based on the mode-superposition method, a set of …

[PDF][PDF] Generalized Westergaard stress functions as fundamental solutions

NA Dumont, EY Mamani - Computer Modeling in Engineering & …, 2011 - cdn.techscience.cn
A particular implementation of the hybrid boundary element method is presented for the two-
dimensional analysis of potential and elasticity problems, which, although general in …

The best of two worlds: The expedite boundary element method

NA Dumont, CA Aguilar - Engineering Structures, 2012 - Elsevier
The present developments result from the combination of the variationally-based, hybrid
boundary element method and a consistent formulation of the conventional, collocation …