Introduction to Structural DynamicsCambridge University Press, 23 okt 2006 This textbook, first published in 2006, provides the student of aerospace, civil and mechanical engineering with all the fundamentals of linear structural dynamics analysis. It is designed for an advanced undergraduate or first-year graduate course. This textbook is a departure from the usual presentation in two important respects. First, descriptions of system dynamics are based on the simpler to use Lagrange equations. Second, no organizational distinctions are made between multi-degree of freedom systems and single-degree of freedom systems. The textbook is organized on the basis of first writing structural equation systems of motion, and then solving those equations mostly by means of a modal transformation. The text contains more material than is commonly taught in one semester so advanced topics are designated by an asterisk. The final two chapters can also be deferred for later studies. The text contains numerous examples and end-of-chapter exercises. |
Inhoudsopgave
Review of the Basics of the Finite Element Method | 99 |
FEM Equations of Motion for Elastic Systems | 157 |
Damped Structural Systems | 213 |
Natural Frequencies and Mode Shapes | 263 |
The Modal Transformation | 334 |
Continuous Dynamic Models | 402 |
Numerical Integration of the Equations of Motion | 451 |
| 483 | |
Preface for the Student page | xi |
Acknowledgments | xvii |
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airfoil amplitude analysis angle applied force applied load approximation axis beam bending beam element calculation center of mass chapter coefficient constant coordinates defined definition deflection deflection response derivatives determinant diagonal differential equation Dirac delta function displacement eigenvalue eigenvectors elastic element stiffness matrix Endnote equation of motion example problem factor finite element first fixed flexibility flutter free vibration global DOF Hence inertia initial conditions input integration kinetic energy Lagrange equations length linear magnitude mass matrix mass modeling mathematical matrix equation method modal deflection mode shapes moment of inertia natural frequency node nondimensional obtained orthogonal pendulum pj(t plane positive quantities ratio response function result rigid body rotation shearing shown in Figure single-DOF solution specific spring static step stiffness matrix strain energy structural system symmetric symmetric matrix twisting undamped vector velocity vibratory virtual write zero
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Pagina 510 - This occurs when p = u>, ie when the frequency of the applied force is equal to the natural frequency of the system.