Model, analyze, and solve vibration problems, using modern computer tools.
Featuring clear explanations, worked examples, applications, and modern computer tools, William Palm's Mechanical Vibration provides a firm foundation in vibratory systems. You'll learn how to apply knowledge of mathematics and science to model and analyze systems ranging from a single degree of freedom to complex systems with two and more degrees of freedom.
Separate MATLAB sections at the end of most chapters show how to use the most recent features of this standard engineering tool, in the context of solving vibration problems. The text introduces Simulink where solutions may be difficult to program in MATLAB, such as modeling Coulomb friction effects and simulating systems that contain non-linearities. Ample problems throughout the text provide opportunities to practice identifying, formulating, and solving vibration problems.
* Strong pedagogical approach, including chapter objectives and summaries
* Extensive worked examples illustrating applications
* Numerous realistic homework problems
* Up-to-date MATLAB coverage
* The first vibration textbook to cover Simulink
* Self-contained introduction to MATLAB in Appendix A
* Special section dealing with active vibration control in sports equipment
* Special sections devoted to obtaining parameter values from experimental data
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Introduction To Mechanical Vibration
Models with One Degree of Freedom
Free Response with a Single Degree of Freedom
10 other sections not shown
acceleration amplitude applied force Assuming beam block cable chapter characteristic roots coefficients compute coordinates damper damping ratio degrees of freedom Derive determine differential equation displacement eigenvalue equation of motion example exponential forced response forcing function Fourier series free response free-body diagram friction gives harmonic impulse inertia initial conditions input isolator kinetic energy Laplace transform linear model MATLAB matrix maximum method modal mode ratios mode shapes motor natural frequency node nonlinear numerical obtain the equation oscillation output parameter peak pendulum plot potential energy problem pulse rad/s resonance root locus rotating unbalance Section shaft shown in Figure shows signal simulation Simulink Simulink model sine sinusoidal solution solve spectral density spectrum speed spring constant spring elements spring force steady-state response step response stiffness suspension system shown torque torsional transfer function undamped variable vector velocity vibration absorber viscous damping zero