Vibrations of a beam on elastic foundation II [J]. Zeitschrift fur Angewandte Mathematik und Mechanik, 1959,39:13-19.Mathews, P. M.: Vibrations of a beam on elastic foundation II. ZAMM 39 , 13–19 (1959).Mathews,P. M.Vibrations of a beam on elastic foundation II. Zeitschrift für ...
The non-linear vibrations of an elastic beam resting on a non-linear tensionless Winkler foundation subjected to a concentrated load at the centre is presented in this paper. Since the foundation is assumed to be tensionless, the beam may lift off the foundation and there exists different ...
According to this concept, the layer is replaced by a 1D continuous foundation with a complex stiffness, which depends on the frequency and the wave number of the bending waves in the beam. This stiffness is analyzed as a function of the phase velocity of the waves. It is shown that the...
A parametric study is then carried out and effects of linear and nonlinear parameters on the chaotic behavior of the system are studied. 展开 关键词: Nonlinear vibration Chaos Beam Elastic foundation Reciprocating loading DOI: 10.1016/j.mechrescom.2015.07.001 被引量: 5 ...
W. Leissa to study the free vibrations of thin plates resting on an elastic foundation. B. A. H. Abbas and J. Thomas arrived at the same analytical solution which is valid for any end condition and coincides with the equation derived by V. V. Bolotin for the hinged-hinged beam. The ...
摘要: A solution of the tittle problem is obtained following (a) the exact approach and (b) the optimized Rayleigh method. It is assumed that the rod possesses a non-uniform cross-section and that the foundation behaves Winkler-fashion under normal and shear stresses....
Free Vibrations of Stepped Beams with Elastic Ends 来自 Elsevier 喜欢 0 阅读量: 40 作者: MAD Rosa 摘要: Not Available 关键词: Theoretical or Mathematical/ vibrations/ Euler-Bernoulli beam elastic ends stepped beam free vibration frequencies/ A4630M Vibrations, aeroelasticity, hydroelasticity, ...
Governing equations For a finite elastic Timoshenko beam resting on three-parameter viscoelastic foundation, the governing differential equation of free motion can be written as[8] ρA ∂2w(x, t) ∂t 2 + k′AG(∂ψ (x,t) ∂x − ∂2w(x, t)) ∂x2 + kw( x, t ) + ...
We propose a method for describing damped vibrations of a beam with a built-in end considering the dynamic hysteresis that determines mechanical energy dissipation due to viscoelasticity. As the mathematical basis, we have used the fractional integro-differentiation apparatus. Rapidly damped vibrations of...
Jaiswal O.R., Iyengar R.N.: Dynamic response of a beam on elastic foundation of finite depth under a moving force. Acta Mech. 96, 67–83 (1993) Article Google Scholar Hasheminejad S.M., Rafsanjani A.: Two-dimensional elasticity solution for transient response of simply supported beams ...