Journal ArticleDOI
Free in-plane vibration of curved beam structures: A tutorial and the state of the art:
Reads0
Chats0
TLDR
The study of free in-plane vibration of curved beams, using different beam theories, is more challenging than that of straight beams, since the structural deformations in curved beams depend not on....Abstract:
The study of free in-plane vibration of curved beams, using different beam theories, is more challenging than that of straight beams, since the structural deformations in curved beams depend not on...read more
Citations
More filters
Journal ArticleDOI
Formulation of curved beam vibrations and its extended application to train-track spatial interactions
TL;DR: In this article, a semi-analytical solution to free and forced vibrations of a pinned-pinned Euler-Bernoulli curved beam is presented, and extended to train-track spatial interactions.
Journal ArticleDOI
Formulation of curved beam vibrations and its extended application to train-track spatial interactions
TL;DR: In this paper , a semi-analytical solution to free and forced vibrations of a pinned-pinned Euler-Bernoulli curved beam is presented, and extended to train-track spatial interactions.
Journal ArticleDOI
Wave Propagation in Tapered Periodic Curved Meta-Frame Using Floquet Theory
TL;DR: In this paper, the elastic wave propagation and dispersion characteristics of a curved tapered frame structure were investigated analytically, and it was shown that a small periodic bent angle cross-section produces a complete, viz. axial and flexural band gap in the low-frequency region, and conicity enhances the width of the band.
Journal ArticleDOI
The in-plane mechanics of a family of curved 2D lattices
TL;DR: In this article, an analytical framework is proposed to understand the mechanics and quantify the essential elastic properties of two-dimensional hexagonal lattices with curved elements, and closed-form expressions for the in-plane Young's moduli and Poisson's ratios are obtained.
Journal ArticleDOI
Natural frequencies of a rotating curved cantilever beam: A perturbation method-based approach:
Ajinkya Baxy,Abhijit Sarkar +1 more
TL;DR: In this article, the blades of propellers, fans, compressor and turbines are modeled as curved beams and the finite element method is employed to determine the modal characterist of the blades.
References
More filters
Journal ArticleDOI
Advanced Engineering Mathematics.
Ronald F. Barnes,Erwin Kreyszig +1 more
TL;DR: In this article, the authors present an approach for ODE's Phase Plane, Qualitative Methods, and Partial Differential Equations (PDE's) to solve ODE problems.
Journal ArticleDOI
Differential quadrature and long-term integration
Richard Bellman,John Casti +1 more
Book
Principles and techniques of vibrations
TL;DR: The finite element method for the algebraic Eigenvalue problem of distributed-parameter systems was introduced in this article. But it is not suitable for the linear system theory of single-degree-of-freedom (SDF) systems.
Journal ArticleDOI
Two new approximate methods for analyzing free vibration of structural components
TL;DR: In this paper, the complementary energy method is applied to the free vibration analysis of various structural components, including prismatic and tapered bars, prismatic beams, and axisymmetric motion of circular membranes.