X.Y. Cui1,2, G. R. Liu2,3, G. Y. Li1,4, G. Zheng1
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.3, pp. 217-230, 2008, DOI:10.3970/cmes.2008.038.217
Abstract In this paper, a gradient smoothed formulation is proposed to deal with a fourth-order differential equation of Bernoulli-Euler beam problems for static and dynamic analysis. Through the smoothing operation, the C1 continuity requirement for fourth-order boundary value and initial value problems can be easily relaxed, and C0 interpolating function can be employed to solve C1 problems. In present thin beam problems, linear shape functions are employed to approximate the displacement field, and smoothing domains are further formed for computing the smoothed curvature and bending moment field. Numerical examples indicate that very accurate results can be yielded when a reasonable number… More >
Login
Register
