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Contents                                                          vii

            Chapter 7 Vibration Analysis                                     117
            7.1   Basic Equations    118
                 7.1.1  Differential Equations    118
                 7.1.2  Related Equations    121
            7.2   Finite Element Method    123
                 7.2.1  Finite Element Equations    123
                 7.2.2  Element Types   123
            7.3   Academic Example    124
                 7.3.1  Vibration of Thin Plate    124
            7.4   Application    132
                 7.4.1  Modal Analysis of Passenger Car Frame    132

            Chapter 8 Failure Analysis                                      135
            8.1   Buckling    136
                 8.1.1  Fundamentals    136
                 8.1.2  Academic Example    138
                 8.1.3  Application    147
            8.2   Fatigue and Life Prediction    150
                 8.2.1  Fundamentals    150
                 8.2.2  Academic Example    153
                 8.2.3  Application    162

            Chapter 9 Heat Transfer Analysis                                165
            9.1   Basic Equations    166
                 9.1.1  Differential Equation    166
                 9.1.2  Related Equations    167
            9.2   Finite Element Method    168
                 9.2.1  Finite Element Equations    168
                 9.2.2  Element Types   168
            9.3   Academic Example    171
                 9.3.1  Plate with Specified Edge Temperatures    171
            9.4   Application    179
                 9.4.1  Three-dimensional Heat Transfer Through Fins    179

            Chapter 10 Thermal Stress Analysis                              185
            10.1  Basic Equations    186
                 10.1.1  Differential Equations    186
                 10.1.2  Related Equations    187
            10.2  Finite Element Method    188
                 10.2.1  Finite Element Equations    188
                 10.2.2  Element Types   189
            10.3  Academic Example    190
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