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Vertex solution theorem for the upper and lower bounds on the dynamic response of structures with uncertain-but-bounded parameters

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References

1990Polynomial Chaos in Stochastic Finite Elements416 cited
2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
1972Impact Loading on Structures with Random Properties106 cited
2001Response analysis of stochastic parameter structures under non-stationary random excitation70 cited
1994A deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures52 cited
1979A Finite Element Method for Random Differential Equations with Random Coefficients51 cited
1992Random vibration analysis for large-scale structures with random parameters35 cited

Cited by

2018Parameter vertex method and its parallel solution for evaluating the dynamic response bounds of structures with interval parameters18 cited
2019Interval and subinterval perturbation finite element-boundary element method for low-frequency uncertain analysis of structural-acoustic systems14 cited
2020High precision interval analysis of the frequency response of structural-acoustic systems with uncertain-but-bounded parameters11 cited

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