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Finite element analysis based on stochastic Hamilton variational principle
7 references·13 citing·32 second hop
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this work references cited by second hop

References

  • 1975Probability Concepts in Engineering Planning and Design2,575 cited
  • 1983Random Fields: Analysis and Synthesis1,302 cited
  • 1986Random field finite elements645 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 1988Transient probabilistic systems93 cited
  • 1988Variational Approach to Probabilistic Finite Elements85 cited

Cited by

  • 2000A comparison of models for uncertainty analysis by the finite element method41 cited
  • 1991Stochastic design sensitivity in structural dynamics29 cited
  • 1991Stochastic structural design sensitivity of static response24 cited
  • 1993Stochastic boundary elements in elastostatics21 cited
  • 1996Some critical observations and attendant new results in the finite element method for stochastic problems18 cited
  • 2001The stochastic finite segment in the analysis of the shear-lag effect on box-girders16 cited
  • 1998On solving nonlinear transient heat transfer problems with random parameters15 cited
  • 1997Finite Element Method for Stochastic Beams Based on Variational Principles

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14 cited
  • 2024Heat transfer in material having random thermal conductivity using Monte Carlo simulation and deep neural network12 cited
  • 2001On computational stochastic structural dynamics applying finite elements12 cited
  • 1999An inverse problem analysis for the determination of probalistic parameters of concrete behavior modeled by a statistical approach11 cited
  • 2011Quasi-weak and weak formulation of stochastic finite elements on static and dynamic problems—a unifying framework9 cited
  • 2023Time-separated stochastic mechanics for the simulation of viscoelastic structures with local random material fluctuations9 cited