论文信息 - Nonprobabilistic modelling of dynamically loaded beams under uncertain excitations

Nonprobabilistic modelling of dynamically loaded beams under uncertain excitations

A nonprobabilistic model for a dynamically loaded beam is developed, when the forcing function and the initial conditions may contain uncertain components. Uncertainty in these functions is required to be bounded in the L"2 norm and expressed using a finite number of eigenmodes. The specific expressions are determined for the dynamic loads which yield the least favorable deflection. Numerical examples are given to illustrate the solution procedure and to assess the effect of various problem parameters.

J. C. Bruch | Sarp Adali | Ibrahim Sadek | James M. Sloss

[1] Dan Givoli,et al. Stress Concentration at a Nearly Circular Hole With Uncertain Irregularities , 1992 .

[2] S. Adali,et al. Convex and fuzzy modelling of uncertainties in the optimal design of composite structures , 1993 .

[3] I. Elishakoff,et al. Convex models of uncertainty in applied mechanics , 1990 .

[4] Yakov Ben-Haim. The Assay of Spatially Random Material , 1985 .

[5] Yakov Ben-Haim,et al. Dynamics of a thin cylindrical shell under impact with limited deterministic information on its initial imperfections , 1990 .

[6] Yakov Ben-Haim,et al. Non-Probabilistic Models of Uncertainty in the Nonlinear Buckling of Shells With General Imperfections: Theoretical Estimates of the Knockdown Factor , 1989 .

[7] P. Kelly,et al. Geometry and Convexity: A Study in Mathematical Methods , 1979 .

[8] Fred C. Schweppe,et al. Uncertain dynamic systems , 1973 .

[9] Masanobu Shinozuka,et al. Stochastic Methods in Structural Dynamics , 1987 .

[10] H. Saunders,et al. Random vibration of structures , 1986 .

[11] Chih-Chen Chang,et al. Random Vibration of Flexible, Uncertain Beam Element , 1991 .

[12] Yu-Kweng Michael Lin. Probabilistic Theory of Structural Dynamics , 1976 .

[13] I. Elishakoff,et al. Probabilistic Methods in the Theory of Structures , 1984 .