Page 427 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 427

414                                       Classical Methods   Chap. 12

                                               0   40"  70"l05 "l4 5 "2 0 0 "











                                                                     Figure P12-29.




                              12-30  Determine  the  natural  modes  of  the  simplified  model  of  an  airplane  shown  in  Fig.
                                  P12-30 where  M/m  = n  and  the beam of length  /  is uniform.



                                        0 — I— Q        — ^— 0
                                                                     Figure P12-30.



                              12-31  Using  Myklestad’s  method,  determine  the  natural  frequencies  and  mode  shapes  of
                                  the  two-lumped-mass cantilever beam of Fig.  PI2-31.  Compare with  previous results
                                  by using infiuence coefficients.


                                                     m    m
                                                     O-------O
                                                                     Figure P12-31.



                              12-32  Determine  the  first  two  natural  frequencies  and  mode  shapes  of  the  three-mass
                                  cantilever of Fig.  P12-32.









                              12-33  Using  Myklestad’s  method,  determine  the  boundary  equations  for  the  simply  sup­
                                  ported beam of Fig.  P12-33.
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