Vibration of beams with general boundary conditions due to a moving random load |
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Authors: | M Abu-Hilal |
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Institution: | (1) Department of Mechanical and Industrial Engineering, Applied Sciences University, Amman 11931, Jordan, JO |
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Abstract: | Summary The transverse vibrations of elastic homogeneous isotropic beams with general boundary conditions due to a moving random
force with constant mean value are analyzed. The boundary conditions considered are: pinned–pinned, fixed–fixed, pinned–fixed,
and fixed–free. Based on the Bernoulli beam theory, the problem is described by means of a partial differential equation.
Closed-form solutions for the variance and the coefficient of variation of the beam deflection are obtained and compared for
three types of force motion: accelerated, decelerated and uniform. The effects of beam damping and speed of the moving force
on the dynamic response of beams are studied in detail.
Received 3 December 2001; accepted for publication 30 April 2002 |
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Keywords: | Vibration Beam Moving load Random load |
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