## An introduction to mechanical vibrationsThis Third Edition of the well-received engineering text retains the clarity of exposition that made the previous editions so popular, and contains the most widely-used problem sets in the business. Approach to vibration analysis is clear, concise, and simple, backed up by a wealth of problems and examples. Multi-degree-of-freedom problems are well-prefaced with two-degree-of-freedom cases. There is a special treatment of damping, including non-viscous problems (standard texts make much use of viscous damping, but most practical examples are not viscous). Now includes an excellent development of Rayleigh's principle and an introduction to finite element vibration analysis. Contains 100 new problems. |

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acceleration amplitude of motion amplitude ratio angular displacement Answer approximate boundary conditions cable center of percussion characteristic values characteristic vector coefficient curve cycle cylinder damping ratio deflection degrees of freedom Determine the natural differential equation dimensionless dry friction elastic energy dissipated engine equation of motion equilibrium position EXAMPLE PROBLEM Figure forced vibration forcing function free body diagram free vibration freedom system frequencies and mode frequency equation harmonic motion hysteresis hysteretic hysteretic damping inertia initial conditions kinetic energy linear lowest natural frequency m/radian mass system mean square mode shape modulus N/mm natural frequency nonlinear pendulum piston potential energy principal coordinates principal mode Rayleigh's energy method Rayleigh's principle resonance response rigid body root mean square rotation rubber shaft shown single degree solution solve speed spring and mass spring constant static steady-state supported tion torsional spring transfer matrix transmission ratio vertical viscous damping zero