On Non-linear Free Vibrations of a Beam with Pinned Ends

The free vibration of a pinned end beam undergoing large transverse deflection is examined. The equation of motion for this problem is reduced to a Duffing-type equation with a small perturbation parameter. The method of multiple scales is used to determine a uniformly valid higher third order pertu...

Full description

Bibliographic Details
Published in:	Journal of King Saud University: Engineering Sciences
Main Author:	Mosad A. Foda
Format:	Article
Language:	English
Published:	Springer 1995-01-01
Online Access:	http://www.sciencedirect.com/science/article/pii/S1018363918306196

Similar Items

Influence of Shear Deformation and Rotary Intertia on Nonlinear Free Vibration of a Beam with Pinned Ends
by: Mosaad A. Foda
Published: (1998-01-01)

SOME PROBLEMS CONCERNING FREE NON-LINEAR VIBRATIONS OF BEAM STRUCTURES
by: S. V. Bosakov, et al.
Published: (2008-10-01)

Free vibrations of linear viscoelastic polymer cantilever beams
by: Diani, Julie
Published: (2020-11-01)

On the free vibration of a perforated Rayleigh beam with deformable ends
by: Uğur Kafkas
Published: (2024-08-01)

Non-linear vibration of Euler-Bernoulli beams
by: A. Barari, et al.

FREE VIBRATION OF BEAM ELASTICALLY RESTRAINED AGAINST TRANSLATION AND ROTATION AT ENDS
by: Nabil H. H.
Published: (2006-03-01)

A Surrogate Reduced Order Free Vibration Model of Linear and Non-Linear Beams using Modified Modal Coefficients and HOSVD Approaches
by: Mohammad Kazem Moayyedi
Published: (2018-12-01)

Correlation of Scale Factor Non-Linearity and Vibration Rectification Error in Vibrating Beam Accelerometers
by: Theo Miani, et al.
Published: (2025-01-01)

Adaptive Polynomials for the Vibration Analysis of an L-Type Beam Structure with a Free End
by: Duck Young Yoon, et al.
Published: (2021-03-01)

Free Vibration Characteristic of Multilevel Beam Based on Transfer Matrix Method of Linear Multibody Systems
by: Laith K. Abbas, et al.
Published: (2014-01-01)

TO THEORY OF NON-LINEAR OSCILLATIONS OF BEAMS WITH ONE FREE RATE
by: S. V. Bosakov, et al.
Published: (2007-06-01)

Free vibration analysis of cracked functionally graded non-uniform beams
by: Shkelzen Shabani, et al.
Published: (2020-01-01)

Non-local effect of eccentrically simply supported beam on free vibration
by: Bojin Li, et al.
Published: (2023-08-01)

Non-linear vibration and bifurcation analysis of Euler-Bernoulli beam under parametric excitation
by: Pengtai Liao
Published: (2024-04-01)

A numerical method for free vibration analysis of beams
by: A. Prokić, et al.

Dynamic analysis of beam structure of linear vibrating screen
by: Hui Long, et al.
Published: (2024-01-01)

Influence of Joint Flexibility on Vibration Analysis of Free-Free Beams
by: Gunda Jagadish Babu, et al.
Published: (2014-12-01)

Free vibrations of stepped nano-beams with cracks
by: Jaan Lellep, et al.
Published: (2022-02-01)

Free and Forced Vibrations of Periodic Multispan Beams
by: Liping Zhu, et al.
Published: (1994-01-01)

Free Vibrations of Beams and Frames. Eigenvalues and Eigenfrequencies
by: Isaac Elishakoff
Published: (2005-01-01)

Free vibration analysis of functionally graded beams
by: Stanisław Kukla, et al.
Published: (2013-06-01)

Axial nonlinear field of a vibrating circular transducer
by: M.A. FODA
Published: (2014-01-01)

Free vibrations of rotating CNTRC beams in thermal environment
by: Xinli Xu, et al.
Published: (2021-12-01)

ABOUT THEORY OF FREE OSCILLATIONS OF BEAMS MADE OF PHYSICALLY NON-LINEAR MATERIAL
by: S. V. Basakov, et al.
Published: (2006-02-01)

Non-Linear Vibrations of Graphene Nanoplatelet-Reinforced Composite Beams using Non-Local Strain Gradient Theory
by: Ahmad Haghani
Published: (2025-01-01)

Stochastic finite element analysis of the free vibration of non-uniform beams with uncertain material
by: Nhung Thi NGUYEN, et al.
Published: (2022-04-01)

Vibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearizationVibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearization
by: Nguyen Nhu Hieu, et al.
Published: (2016-03-01)

Single variable refined beam theories for the bending, buckling and free vibration of homogenous beams
by: Sayyad A. S., et al.
Published: (2016-12-01)

Free Vibration Analysis for Cracked FGM Beams by Means of a Continuous Beam Model
by: E Chuan Yang, et al.
Published: (2015-01-01)

Performance Dependence on Initial Free-End Levitation of a Magnetically Levitated Piezoelectric Vibration Energy Harvester With a Composite Cantilever Beam
by: Zhonghua Zhang, et al.
Published: (2017-01-01)

Linear System Identification and Vibration Control of End-Effector for Industrial Robots
by: Xiaobiao Shan, et al.
Published: (2020-11-01)

Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends
by: Igor Rudakov, et al.
Published: (2020-12-01)

Nonlinear free vibration analysis of non-uniform axially graded beam on variable elastic foundation
by: Lohar Hareram, et al.
Published: (2022-01-01)

On the Free Vibration and the Buckling Analysis of Laminated Composite Beams Subjected to Axial Force and End Moment: A Dynamic Finite Element Analysis
by: MirTahmaseb Kashani, et al.
Published: (2022-02-01)

Linear Barycentric Rational Collocation Method for Beam Force Vibration Equation
by: Jin Li, et al.
Published: (2021-01-01)

Bending and Vibration Analysis of Flexoelectric Beam Structure on Linear Elastic Substrates
by: Maomao Zhang, et al.
Published: (2022-06-01)

Free linear vibrations of a viscoelastic spherical shell with filler
by: Mirsaidov, Mirziyod Mirsaidovich, et al.
Published: (2025-07-01)

Free Vibration of a Perfectly Clamped-Free Beam with Stepwise Eccentric Distributed Masses
by: Gilbert-Rainer Gillich, et al.
Published: (2016-01-01)

Effects of non-classical boundary conditions on the free vibration response of a cantilever Euler-Bernoulli beams
by: Abderrachid Afras, et al.
Published: (2023-01-01)

Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
by: Ramazan-Ali Jafari-Talookolaei, et al.
Published: (2014-01-01)