Nonlinear eigenvalue problems arise in a variety of science and engineering applications,
and in the past ten years there have been numerous breakthroughs in the development of …

Linear and nonlinear vibration characteristics of the graphene platelet-reinforced composite
(GPLRC) laminated plates are investigated. Based on the first-order shear theory and von …

It is widely known that the boundary element method (BEM) without any special treatment
suffers from the fictitious eigenfrequency problem for the numerical solutions of exterior …

For several decades, the coupled boundary element and finite element (BE–FE) approach
has been recognized as a potential tool for modeling sound–structure interaction problems …

This paper presents a numerical approach for the design sensitivity analysis of modal
frequencies of elastic structures submerged in an unbounded heavy fluid domain. Because …

Due to the global commitment to mitigate climate warming by replacing fossil fuels, the
global wind power installed capacity continues to increase. The reliability of wind turbines is …

Free vibration analysis of large complex structures with improved Lanczos iteration method
is investigated through the finite element method. An important step in the traditional …

In this article, the problem of seeking fixed points for global operators over the time-varying
graphs in a real Hilbert space is studied. The global operator is a linear combination of local …

随着大规模快速边界元计算技术的发展, 在复杂结构的动态设计, 振动与噪声分析中愈来愈多地
采用边界元法, 因此求解大规模边界元特征值问题, 进行复杂结构和声场模态分析 …

This study sets up two new merit functions, which are minimized for the detection of real
eigenvalue and complex eigenvalue to address nonlinear eigenvalue problems. For each …