Sinusoidal vibration
著者
書誌事項
Sinusoidal vibration
（Mechanical vibration & shock / Christian Lalanne, v. 1）
Penton, 2002
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注記
Includes bibliographical references (p. [297]-307) and index
内容説明・目次
内容説明
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 placed in the context both of the real world and of laboratory tests, and transient and steady state response of the single-degree-of-freedom system. First viscous damping and then non-linear damping is considered. The various types of sine-sweep and their properties are described and, for the one-degree-of-freedom system, the consequences of an inappropriate choice of sweep rate are considered. From the latter, rules governing the choice of suitable sweep rates are developed.
目次
- Chapter 1. Background theory Static/dynamic effects
- Behavior under dynamic head (impact) Elements of a system
- Mathematical models Chapter 2. Response of a linear mechanical system with single degree of freedom to an unspecified excitation Definitions - Notations
- Excitation defined by force as function of time
- Excitation defined by acceleration
- Reduced form
- Resolution of the differential equation of motion
- Natural oscillations of a linear system to only one degree of freedom Chapter 3. Responses, step and impulse Response of a system mass to step function
- Response of a system mass to impulse
- Use of responses, step and impulse
- Transfer function of a linear system to a degree of freedom
- Measure of transfer functions Chapter 4. Sinusoidal vibrations Definitions
- Periodic and sinusoidal vibrations in the real environment
- Tests with sinusoidal vibrations Chapter 5. Response of a linear mechanical system with single degree of freedom to a sinusoidal vibration General equations of the movement
- Study of the transitory response
- Study of the permanent response Chapter 6. Nonviscous damping Damping observed in real structures
- Linearization of nonlinear loops of hysteresis - Coefficient of damping viscous equivalent
- Principal types of damping
- Measure of damping of a system
- Nonlinear stiffness Chapter 7. Swept sine Definitions
- 'Swept sine' vibrations in the real environment
- 'Swept sine' vibrations in the tests
- Origin and properties the principal types of sweeping Chapter 8. Reponse of a linear system to a degree of freedom to a swept sine vibration Influence of sweeping velocity
- Response of a linear system of one degree of freedom to a swept sine wave excitation
- Choice of the duration of test in swept sine
- Choice of amplitude
- Choice of mode of sweeping Appendix: Laplace Transform **A.1. Definition **A.2. Properties **A.3. Application of Laplace transform to resolution of the differential equations **A.4. Calculation of the original function - Mellin-Fourier integral or Bromwich transform **A.5. Transforms table **A.6. Generalized impedance - transfer function Principal notations - Bibliography - Index
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