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      Mechanical Vibration and Shock Analysis, Sinusoidal Vibration

      AvChristian Lalanne

      Inbunden, Engelska, 2014

      Del i serien Mechanical Vibration and Shock Analysis

      2 366 kr

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      E-bok

      2 869 kr

      E-bok

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      Beskrivning

      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 turbines, motors or helicopters by the spinning of their constituent parts to the ability of buildings to withstand damage from wind loads or explosions, and the need for cars to maintain structural integrity in the event of a crash. There are detailed examinations of underlying theory, models developed for specific applications, performance of materials under test conditions and in real-world settings, and case studies and discussions of how the relationships between these affect design for actual products.Invaluable to engineers specializing in mechanical, aeronautical, civil, electrical and transportation engineering, this reference work, in five volumes is a crucial resource for the solution of shock and vibration problems.The relative and absolute response of a mechanical system with a single degree of freedom is considered for an arbitrary excitation, and its transfer function is defined in various forms. The characteristics of sinusoidal vibration are examined in the context both of the real world and of laboratory tests, and for both transient and steady state response of the one-degree-of-freedom system. Viscous damping and then non-linear damping are considered. The various types of swept sine perturbations and their properties are described and, for the one-degree-of-freedom system, the consequence of an inappropriate choice of sweep rate are considered. From the latter, rules governing the choice of suitable sweep rates are then developed.

      Produktinformation

      • Utgivningsdatum:2014-04-01
      • Mått:163 x 241 x 31 mm
      • Vikt:794 g
      • Format:Inbunden
      • Språk:Engelska
      • Serie:Mechanical Vibration and Shock Analysis
      • Antal sidor:448
      • Upplaga:3
      • Förlag:ISTE Ltd and John Wiley & Sons Inc
      • ISBN:9781848216440

      Utforska kategorier

      • Maskinteknik och material inom Naturvetenskap och teknik

      Mer om författaren

      Christian Lalanne is a Consultant Engineer who previously worked as an expert at the French Atomic Energy Authority and who has specialized in the study of vibration and shock for more than 40 years. He has been associated with the new methods of drafting testing specifications and associated informatic tools.

      Innehållsförteckning

      • Foreword to Series xiIntroduction xvList of Symbols xixChapter 1 The Need 11.1 The need to carry out studies into vibrations and mechanical shocks 11.2. Some real environments 31.2.1. Sea transport 31.2.2. Earthquakes 51.2.3. Road vibratory environment 61.2.4. Rail vibratory environment 71.2.5. Propeller airplanes 81.2.6. Vibrations caused by jet propulsion airplanes 81.2.7. Vibrations caused by turbofan aircraft 91.2.8. Helicopters 91.3. Measuring vibrations and shocks 111.4. Filtering 151.4.1. Definitions 151.4.2. Digital filters 181.5. Digitizing the signal 211.5.1. Signal sampling frequency 211.5.2. Quantization error 251.6. Reconstructing the sampled signal 281.7. Characterization in the frequency domain 311.8. Elaboration of the specifications 321.9. Vibration test facilities 331.9.1 Electro-dynamic exciters 331.9.2. Hydraulic actuators 371.9.3. Test Fixtures 38Chapter 2 Basic Mechanics 412.1. Basic principles of mechanics 412.1.1. Principle of causality 412.1.2. Concept of force 412.1.3. Newton’s first law (inertia principle) 422.1.4. Moment of a force around a point 422.1.5. Fundamental principle of dynamics (Newton’s second law) 432.1.6 Equality of action and reaction (Newton’s third law) 432.2. Static effects/dynamic effects 432.3. Behavior under dynamic load (impact) 452.4. Elements of a mechanical system 482.4.1. Mass 482.4.2. Stiffness 492.4.3. Damping 572.4.4. Static modulus of elasticity 712.4.5 Dynamic modulus of elasticity 722.5. Mathematical models 742.5.1. Mechanical systems 742.5.2. Lumped parameter systems 752.5.3. Degrees of freedom 772.5.4. Mode 772.5.5. Linear systems 792.5.6. Linear one-degree-of-freedom mechanical systems 792.6 Setting an equation for n degrees-of-freedom lumped parameter mechanical system 802.6.1. Lagrange equations 802.6.2. D’Alembert’s principle 882.6.3. Free-body diagram 88Chapter 3 Response of a Linear One-Degree-of-Freedom Mechanical System to an Arbitrary Excitation 973.1. Definitions and notation 973.2. Excitation defined by force versus time 993.3. Excitation defined by acceleration 1033.4. Reduced form 1043.4.1 Excitation defined by a force on a mass or by an acceleration of support 1043.4.2. Excitation defined by velocity or displacement imposed on support 1063.5. Solution of the differential equation of movement 1093.5.1. Methods 1093.5.2. Relative response 1093.5.3. Absolute response 1133.5.4. Summary of main results 1183.6. Natural oscillations of a linear one-degree-of-freedom system 1193.6.1. Damped aperiodic mode 1203.6.2. Critical aperiodic mode 1243.6.3. Damped oscillatory mode 127Chapter 4 Impulse and Step Responses 1454.1 Response of a mass–spring system to a unit step function (step or indicial response) 1454.1.1. Response defined by relative displacement 1454.1.2 Response defined by absolute displacement, velocity or acceleration 1534.2. Response of amass–spring system to a unit impulse excitation 1584.2.1. Response defined by relative displacement 1584.2.2. Response defined by absolute parameter 1644.3. Use of step and impulse responses 1694.4. Transfer function of a linear one-degree-of-freedom system 1764.4.1. Definition 1764.4.2 Calculation of H(h) for relative response 1794.4.3 Calculation of H(h) for absolute response 1804.4.4. Other definitions of the transfer function 1824.5. Measurement of transfer function 188Chapter 5 Sinusoidal Vibration 1895.1. Definitions 1895.1.1. Sinusoidal vibration 1895.1.2. Mean value 1915.1.3. Mean square value–rms value 1925.1.4. Periodic vibrations 1955.1.5. Quasi-periodic signals 1985.2. Periodic and sinusoidal vibrations in the real environment 1995.3. Sinusoidal vibration tests 199Chapter 6 Response of a Linear One-Degree-of-Freedom Mechanical System to a Sinusoidal Excitation 2036.1. General equations of motion 2046.1.1 Relative response 2046.1.2. Absolute response 2076.1.3. Summary 2096.1.4. Discussion 2106.1.5. Response to periodic excitation 2126.1.6. Application to calculation for vehicle suspension response 2136.2. Transient response 2156.2.1. Relative response 2156.2.2. Absolute response 2196.3. Steady state response 2196.3.1. Relative response 2196.3.2. Absolute response 2206.4. Responses6.4.1. Amplitude and phase 2216.4.2. Variations of velocity amplitude 2226.4.3. Variations in velocity phase 2346.5. Responses6.5.1 Expression for response 2356.5.2. Variation in response amplitude 2366.5.3. Variations in phase 2416.6. Responses6.6.1 Movement transmissibility 2496.6.2. Variations in amplitude 2506.6.3. Variations in phase 2536.7. Graphical representation of transfer functions 2556.8 Definitions 2576.8.1. Compliance–stiffness 2576.8.2 Mobility – impedance 2586.8.3. Inertance –mass 259Chapter 7 Non-viscous Damping 2617.1. Damping observed in real structures 2617.2. Linearization of non-linear hysteresis loops – equivalent viscous damping 2627.3. Main types of damping 2667.3.1 Damping force proportional to the power b of the relative velocity 2667.3.2 Constant damping force 2677.3.3. Damping force proportional to the square of velocity 2697.3.4 Damping force proportional to the square of displacement 2707.3.5. Structural or hysteretic damping 2717.3.6. Combination of several types of damping 2727.3.7. Validity of simplification by equivalent viscous damping 2737.4. Measurement of damping of a system 2747.4.1. Measurement of amplification factor at resonance 2747.4.2. Bandwidth or √2 method 2767.4.3. Decreased rate method (logarithmic decrement) 2777.4.4 Evaluation of energy dissipation under permanent sinusoidal vibration 2847.4.5. Other methods 2887.5. Non-linear stiffness 288Chapter 8 Swept Sine 2918.1. Definitions 2918.1.1. Swept sine 2918.1.2. Octave – number of octaves in frequency interval (f1, f2) 2948.1.3. Decade 2948.2. “Swept sine” vibration in the real environment 2958.3. “Swept sine” vibration in tests 2958.4. Origin and properties of main types of sweepings 2978.4.1. The problem 2978.4.2 Case 1: sweep where time ∆t spent in each interval ∆f is constant for all values of f0 3018.4.3. Case 2: sweep with constant rate 3138.4.4. Case 3: sweep ensuring a number of identical cycles ∆N in all intervals ∆f (delimited by the half-power points) for all values of f0 314Chapter 9 Response of a Linear One-Degree-of-Freedom System to a Swept Sine Vibration 3199.1. Influence of sweep rate 3199.2 Response of a linear one-degree-of-freedom system to a swept sine excitation 3219.2.1. Methods used for obtaining response 3219.2.2. Convolution integral (or Duhamel’s integral) 3229.2.3 Response of a linear one-degree-of freedom system to a linear swept sine excitation 3249.2.4 Response of a linear one-degree-of-freedom system to a logarithmic swept sine 3349.3. Choice of duration of swept sine test 3389.4. Choice of amplitude 3429.5. Choice of sweep mode 343Appendix Laplace Transformations 353Vibration Tests: a Brief Historical Background 367Bibliography 373Index 387Summary of Other Volumes in the Series 393
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