Page 312 - Finite Element Modeling and Simulations with ANSYS Workbench
P. 312

Structural Vibration and Dynamics                                           297





                                                           All dimensions are in
                                 Load
                                                              centimeters.
                                         1.000



                                         R1.000
                                                     1.000
                               3.000
                                                8.000


               8.8  The following two-bar assembly consists of four components made of struc-
                   tural steel with Young’s modulus E = 200 GPa, Poisson’s ratio ν = 0.3, and den-
                                    3
                   sity ρ = 7850 kg/m . As shown in the figure below, the two bars are identical
                   in size. Each bar has a diameter of 2 cm and a length of 16 cm. The two identi-
                   cal end blocks each has a thickness of 2 cm and a fillet radius of 1 cm at the
                   round corners. The distance of the gap in between the two blocks is 8 cm.
                   Suppose that the two blocks are fixed on the bottom. The bars are applied a
                                                               2
                   harmonic pressure load of magnitude 100 N/cm  as shown below. Using the
                   FEA, compute:
                   a.  The first five natural frequencies and normal modes of the assembly
                   b.  The  frequency response  of the  x  directional  deformation  (along the load
                     direction) of the cylindrical bar surface under the given harmonic load


                                             All dimensions are in centimeters.
                                             Use bonded contact for all contact regions.


                                2.000  5.000  Load


                             R1.000
                                                      Load


                                                   6.000
                                          10.000




               8.9  The following clevis assembly consists of a yoke, a pin, and a u-shape. The
                   assembly components are made of structural steel with Young’s modulus
                   E = 200 GPa,  Poisson’s  ratio  ν = 0.3, and density  ρ = 7850 kg/m . The profile
                                                                            3
                   sketches of the yoke and the u-shape are shown below. Both components have
                   an extrusion depth of 5 cm. The pin has a diameter of 2 cm and a length of
                   16 cm, and is centered 2.5 cm away from both the front and the side faces of
                   the u-shape. Assume that the yoke is fixed on the left end, and the u-shape is
   307   308   309   310   311   312   313   314   315   316   317