The relative and absolute response of a mechanical system with a single degree of freedom is considered for arbitrary excitation, and its transfer function defined in various forms. The characteristics of sinusoidal vibration are examined in the context both of the real world and of laboratory tests
Mechanical vibration and shock analysis. Volume 1, Sinusoidal Vibration
β Scribed by Lalanne, Christian
- Publisher
- ISTE : Wiley
- Year
- 2014
- Tongue
- English
- Leaves
- 447
- Series
- Mechanical engineering and solid mechanics series
- Edition
- Third edition
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Everything engineers need to know about mechanical vibration and shock ... in one authoritative reference work! This fully updated and revised 3rd edition addresses the entire field of mechanical vibration and shock as one of the most important types of load and stress applied to structures, machines and components in the real world. Examples include everything from the regular and predictable loads applied to Read more...
Abstract:
β¦ Table of Contents
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.
β¦ Subjects
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π SIMILAR VOLUMES
Content: <br>Chapter 1 The Need (pages 1β29): <br>Chapter 2 Basic Mechanics (pages 31β83): <br>Chapter 3 Response of a Linear One?Degree?of?Freedom Mechanical System to an Arbitrary Excitation (pages 85β132): <br>Chapter 4 Impulse and Step Responses (pages 133β175): <br>Chapter 5 Sinusoidal Vibratio
This volume is from the "Mechanical Vibration and Shock" five-volume study. The relative and absolute response of a mechanical system to one degree with freedom is considered for arbitrary excitation, and its transfer function defined in various forms. The characteristics of sinusoidal vibration are
The vast majority of vibrations encountered in the real environment are random in nature. Such vibrations are intrinsically complicated and this volume describes the process that enables us to simplify the required analysis, along with the analysis of the signal in the frequency domain. The power sp