Vibrations of carbon nanotubes and their composites: a review

Vibrations of straight and curved composite beams: A review

Introduction to Finite Element Vibration Analysis: Frontmatter

Non-uniform warping including the effects of torsion and shear forces. Part I: A general beam theory

This paper presents a comprehensive review on different theoretical elastic and viscoelastic foundation models in oscillatory systems. The review covers the simplest foundation models to the most complicated one and fully tracks the recent theories on the topic of mechanical foundations. It is fully discussed why each theory has been developed, what limitations each one contains, and which approaches have been applied to remove these limitations. Moreover, corresponding theories about structures supported by such foundations are briefly reviewed. Subsequently, an introduction to popular solution methods is presented. Finally, several important practical applications related to the linear and nonlinear foundations are reviewed. This paper provides a detailed theoretical background and also physical understanding from different types of foundations with applications in structural mechanics, nanosystems, bio-devices, composite structures, and aerospace-based mechanical systems. The presented information of this review article can be used by researchers to select an appropriate kind of foundation/structure for their dynamical systems. The paper ends with a new idea of intelligent foundations based on nanogenerators, which can be exploited in future smart cities for both energy harvesting and self-powered sensing applications.

Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications

A general theory is proposed for the shear deformable thin-walled beam with non-symmetric open/closed cross-sections and its exact dynamic and static element stiffness matrices are evaluated. For this purpose, an improved shear deformable beam theory is developed by introducing Vlasov's assumption and applying Hellinger–Reissner principle. This includes the shear deformations due to the shear forces and the restrained warping torsion and due to the coupled effects between them, rotary inertia effects and the flexural–torsional coupling effects due to the non-symmetric cross-sections. Governing equations and force–deformation relations are derived from the energy principle and a system of linear eigenproblem with non-symmetric matrices is constructed based on 14 displacement parameters. And then explicit expressions for displacement parameters are derived and the exact dynamic and the static stiffness matrices are determined using force–deformation relationships. In order to verify the validity and the accuracy of this study, the numerical solutions are presented and compared with other numerical solutions available in the literature and results using the thin-walled beam element and the shell element. Particularly the influences of the coupled shear deformation on the vibrational and the elastic behavior of non-symmetric beams with various boundary conditions are investigated.

Exact dynamic/static stiffness matrices of non-symmetric thin-walled beams considering coupled shear deformation effects

Improved flexural–torsional stability analysis of thin-walled composite beam and exact stiffness matrix

Free vibration and spatial stability of non-symmetric thin-walled curved beams with variable curvatures

Stiffness matrices for flexural–torsional/lateral buckling and vibration analysis of thin-walled beam☆

Exact dynamic and static element stiffness matrices of nonsymmetric thin-walled beam-columns

Nam-Il Kim

Papers

Exact dynamic/static stiffness matrices of non-symmetric thin-walled beams considering coupled shear deformation effects

Improved flexural–torsional stability analysis of thin-walled composite beam and exact stiffness matrix

Free vibration and spatial stability of non-symmetric thin-walled curved beams with variable curvatures

Stiffness matrices for flexural–torsional/lateral buckling and vibration analysis of thin-walled beam☆

Exact dynamic and static element stiffness matrices of nonsymmetric thin-walled beam-columns