Page 119 - C:\Users\trainee\AppData\Local\Temp\msoEAA3.tmp
P. 119

Fundamentals of Stress and Vibration
                [A Practical guide for aspiring Designers / Analysts]   1. Mathematics for Structural mechanics


                                                          2
                                                                               2

                                                     −   c 2   c −4c 3 c 1      t      −   c 2   c −4c 3 c 1
                                                                               2
                                                          2
                                                                                        t
                                                    2c 1  +  2c 1        2c 1  −  2c 1
                The solution is given by:  y t  = pe              + qe



                 ‘ ’Ž‘– –Š‡ ‰”ƒ’Šǡ ™‡ ƒ••—‡ –Š‡ ˆ‘ŽŽ‘™‹‰ǣ

                   ’        ʹ

                   “        ͵

                   …ͳ       ʹ

                   …ʹ       ͵

                   …͵       ͳ


                 Š‡ ‰”ƒ’Š ‹• ‡š’‘‡–‹ƒŽ ‹ ƒ–—”‡ ƒ• •Š‘™ ‹ ȏ ‹‰ ͳǤͳͺȐ
















                                                                      at
                                                                             bt
                        [Fig 1.18: exponential curve of the form [y t  = pe + qe ]]














                                QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries,
                   Page 22
   114   115   116   117   118   119   120   121   122   123   124