Formulas for Dynamics, Acoustics and Vibration

Over 1000 formulas for solving vibration problems in engineering in dynamics acoustics and vibration are presented in 60 tables for quick reference. The formulas allow a specialist or non-specialist equally well to access 200 years of accumulated knowledge and solutions for dynamics, acoustics and vibration. It also lets the reader to calculate the dynamic response of structural, acoustic, and fluids systems and quickly feed back the results into a design or solve the cause of a troublesome noise or vibration problem without resorting to numerical simulations. The presentation of formulas relates design and loads to response in a simple way that numerical solutions lack. Moreover classically based formulas have a new application--to check the results of numerical and computer solutions. The formulas for dynamic analysis are in a table. The text has examples, explanation, and derivations. Chapter 1 provides definitions, symbols, units, and geometric properties. Chapter 2 has dynamics of point masses and rigid bodies. Chapters 3 through 5 provide natural frequencies and mode shapes for elastic beams, plates, shells, and spring-mass systems. Chapter 6 provides fluid and acoustic solutions to the wave equation. Chapter 7 has formulas for the response of elastic structures to sinusoidal, transient, and random loads. Chapter 8 gives properties of structural solids and fluids. Appendices present approximate and numerical methods for natural frequency and time-history analysis. The algebraic formulas are simple enough that a beginner can calculate the results - no calculus is required.