5. Use the Rayleigh-Ritz method to find good approximations for the first 3 natural frequencies and modeshapes of a stee

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5 Use The Rayleigh Ritz Method To Find Good Approximations For The First 3 Natural Frequencies And Modeshapes Of A Stee 1 (34.34 KiB) Viewed 40 times

5. Use the Rayleigh-Ritz method to find good approximations for the first 3 natural frequencies and modeshapes of a steel beam with length 1 = 10 m, cross-sectional area A = 44 cm² and 1 = 1.0(107) mm'. The beam is pinned at the left end and supported at the right end by a spring with stiffness k= 10 kN/m. Use trial functions */(x) = sin({inx/1). 7. The steel beam from Q5 has now been fixed at both ends, and it has been machined so that there is a step change in I and patx=4.0 m. For x > 4.0 m, 1 is halved and pis cut to 0.3 of its original value. Use the Rayleigh-Ritz method to find good approximations to the first 3 modeshapes and natural frequencies.