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Structural Engineering and Mechanics Volume 56, Number 5, December10 2015 , pages 767-785 DOI: https://doi.org/10.12989/sem.2015.56.5.767 |
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Stochastic elastic wave analysis of angled beams |
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Changqing Bai, Hualin Ma and Victor P.W. Shim
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| Abstract | ||
| The stochastic finite element method is employed to obtain a stochastic dynamic model of angled beams subjected to impact loads when uncertain material properties are described by random fields. Using the perturbation technique in conjunction with a precise time integration method, a random analysis approach is developed for efficient analysis of random elastic waves. Formulas for the mean, variance and covariance of displacement, strain and stress are introduced. Statistics of displacement and stress waves is analyzed and effects of bend angle and material stochasticity on wave propagation are studied. It is found that the elastic wave correlation in the angled section is the most significant. The mean, variance and covariance of the stress wave amplitude decrease with an increase in bend angle. The standard deviation of the beam material density plays an important role in longitudinal displacement wave covariance. | ||
| Key Words | ||
| elastic wave; stochastic finite element; angled beam; impact; random parameter; uncertainty | ||
| Address | ||
| Changqing Bai: State Key Laboratory of Mechanical Structure Strength and Vibration/ School of Aerospace, Xi\'an Jiaotong University, Xi\'an 710049, China Hualin Ma: China Construction Technology Group limited Company, Lanzhou 730080, China Victor P.W. Shim: Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore | ||