Mechanical vibration and shock analysis. Volume 1, Sinusoidal Vibration

Content: Cover
 Title Page
 Copyright
 Contents
 Foreword to Series
 Introduction
 List of Symbols
 Chapter 1. The Need
 1.1. The need to carry out studies into vibrations and mechanical shocks
 1.2. Some real environments
 1.2.1. Sea transport
 1.2.2. Earthquakes
 1.2.3. Road vibratory environment
 1.2.4. Rail vibratory environment
 1.2.5. Propeller airplanes
 1.2.6. Vibrations caused by jet propulsion airplanes
 1.2.7. Vibrations caused by turbofan aircraft
 1.2.8. Helicopters
 1.3. Measuring vibrations and shocks
 1.4. Filtering
 1.4.1. Definitions
 1.4.2. Digital filters. 1.5. Digitizing the signal1.5.1. Signal sampling frequency
 1.5.2. Quantization error
 1.6. Reconstructing the sampled signal
 1.7. Characterization in the frequency domain
 1.8. Elaboration of the specifications
 1.9. Vibration test facilities
 1.9.1. Electro-dynamic exciters
 1.9.2. Hydraulic actuators
 1.9.3. Test Fixtures
 Chapter 2. Basic Mechanics
 2.1. Basic principles of mechanics
 2.1.1. Principle of causality
 2.1.2. Concept of force
 2.1.3. Newton's first law (inertia principle)
 2.1.4. Moment of a force around a point
 2.1.5. Fundamental principle of dynamics (Newton's second law). 2.1.6. Equality of action and reaction (Newton's third law)2.2. Static effects/dynamic effects
 2.3. Behavior under dynamic load (impact)
 2.4. Elements of a mechanical system
 2.4.1. Mass
 2.4.2. Stiffness
 2.4.3. Damping
 2.4.4. Static modulus of elasticity
 2.4.5. Dynamic modulus of elasticity
 2.5. Mathematical models
 2.5.1. Mechanical systems
 2.5.2. Lumped parameter systems
 2.5.3. Degrees of freedom
 2.5.4. Mode
 2.5.5. Linear systems
 2.5.6. Linear one-degree-of-freedom mechanical systems
 2.6. Setting an equation for n degrees-of-freedom lumped parameter mechanical system. 2.6.1. Lagrange equations2.6.2. D'Alembert's principle
 2.6.3. Free-body diagram
 Chapter 3. Response of a Linear One-Degree-of-Freedom Mechanical System to an Arbitrary Excitation
 3.1. Definitions and notation
 3.2. Excitation defined by force versus time
 3.3. Excitation defined by acceleration
 3.4. Reduced form
 3.4.1. Excitation defined by a force on a mass or by an acceleration of support
 3.4.2. Excitation defined by velocity or displacement imposed on support
 3.5. Solution of the differential equation of movement
 3.5.1. Methods
 3.5.2. Relative response
 3.5.3. Absolute response. 3.5.4. Summary of main results3.6. Natural oscillations of a linear one-degree-of-freedom system
 3.6.1. Damped aperiodic mode
 3.6.2. Critical aperiodic mode
 3.6.3. Damped oscillatory mode
 Chapter 4. Impulse and Step Responses
 4.1. Response of a mass-spring system to a unit step function (step or indicial response)
 4.1.1. Response defined by relative displacement
 4.1.2. Response defined by absolute displacement, velocity or acceleration
 4.2. Response of a mass-spring system to a unit impulse excitation
 4.2.1. Response defined by relative displacement.