Dynamics of physical systems / [by] Robert H. Cannon, Jr.
Editor: New York : McGraw-Hill, [1967]Descripción: xx, 904 p. : il. ; 23 cmTema(s): Systems engineeringOtra clasificación: 00A79CONTENTS 1 DYNAMIC INVESTIGATION [1] 1.1 The scope of dynamic investigation [3] 1.2 The stages of a dynamic investigation [4] 1.3 The block diagram: a conceptual tool [8] 1.4 Stage I. Physical modeling: from actual system to physical model [10] 1.5 Dimensions and units [19] PART A: EQUATIONS OF MOTION FOR PHYSICAL SYSTEMS 2 EQUATIONS OF MOTION FOR SIMPLE PHYSICAL SYSTEMS: MECHANICAL, ELECTRICAL, AND ELECTROMECHANICAL [31] 2.1 Stage II. Equations of motion: from physical model to mathematical model [32] 2.2 One-dimensional mechanical systems [34] 2.3 Mechanical energy and power [53] 2.4 Gear trains and levers [54] 2.5 Motion in two and three dimensions [57] 2.6 Simple electrical systems [57] 2.7 A recapitulation of Procedure A [74] 2.8 Amplifiers and transformers [75] 2.9 Simple electromechanical systems [79] 02.10 Electromechanical elements: an empirical sampling [85] 03 EQUATIONS OF MOTION FOR SIMPLE HEAT-CONDUCTION AND FLUID SYSTEMS [94] 3.1 Simple heat conduction [94] 3.2 Simple fluid systems [192] 04 ANALOGIES [121] 4.1 Analogies between physical media [121] 4.2 The electrical analog of mechanical systems [125] 4.3 Classification of dynamic system elements [132] 4.4 The benefits and limitations of analysis by analog [133] 4.5 The network approach to analysis [137] 05 EQUATIONS OF MOTION FOR MECHANICAL SYSTEMS IN TWO AND THREE DIMENSIONS [143] 5.1 Geometry of motion in two and three dimensions [143] 5.2 Rotating reference frames [149] 5.3 Dynamic equilibrium for rigid body in general motion [152] 5.4 Equations of motion for systems of rigid bodies: examples [156] 5.5 Advantages of the D’Alembert method. The gyro [159] 5.6 Energy methods [163] 5.7 Lagrange’s method [167] 5.8 Lagrange’s method for conservative systems [169] 5.9 Lagrange’s method for nonconservative systems [173] 5.10 The relative advantages of Lagrange’s method [178] PART B: DYNAMIC RESPONSE OF ELEMENTARY SYSTEMS Introduction [180] 6 FIRST-ORDER SYSTEMS [182] 6.1 First-order systems [183] 6.2 Natural (unforced) motion [186] 6.3 Forced motion [193] 6.4 Linearity and superposition [197] 6.5 Initial conditions [200] 06.6 Special case: the pure integrator [204] 06.7 Special case: resonance [207] 6.8 Response to a very short impulse [210] 06.9 Initial conditions involving sudden change [218] 06.10 Generalization to an arbitrary input: convolution [220] 7 UNDAMPED SECOND-ORDER SYSTEMS: FREE VIBRATIONS [225] 7.1 Physical vibrations [226] 7.2 Complex numbers [236] 7.3 Mathematical operations with complex numbers [238] 7.4 Complex-vector (phasor) representation of a sine wave [242] 8 DAMPED SECOND-ORDER SYSTEMS [244] 8.1 Second-order systems [245] 8.2 Natural motion [246] 8.3 Dynamic characteristics and the s plane [248] 8.4 Initial conditions: 1 < ζ [255] 8.5 Initial conditions: ζ < 1 [257] 08.6 Sketching time response when ζ < 1 [259] 8.7 Initial conditions: ζ = 1 [263] 8.8 Forced motion alone [266] 8.9 Transfer functions and pole-zero diagrams [273] 08.10 Impedance and admittance [280] 8.11 Total response to abrupt disturbances [282] 08.12 Transient and steady state [290] 08.13 Impulse response of certain second-order systems [291] 08.14 Response of a second-order system by convolution [298] 08.15 Simulation: the analog computer [299] 09 FORCED OSCILLATIONS OF ELEMENTARY SYSTEMS [309] 9.1 The nature of sinusoidal response [311] 09.2 Operation at a single frequency: the impedance viewpoint [313] 9.3 Frequency response [314] 9.4 Computing frequency response [321] 9.5 Logarithmic scales for plotting frequency response [322] 9.6 Forced oscillation of first-order systems: the plotting techniques of Bode [324] 9.7 Forced oscillation of undamped second-order systems: resonance [330] 9.8 Forced oscillation of damped second-order systems [335] 09.9 Techniques for plotting second-order frequency response [337] 9.10 Obtaining frequency response from the s plane [342] 9.11 Seismic instruments [345] 9.12 Frequency response of RLC circuits [352] 010 NATURAL MOTIONS OF NONLINEAR SYSTEMS AND TIME-VARYING SYSTEMS [355] 10.1 Methods of linear approximation [356] 10.2 State-space analysis [360] 10.3 Large motions of pendulum with damping [367] 10.4 Piecewise-linear elements [369] 10.5 Linear equations with time-varying coefficients [370] PART C: NATURAL BEHAVIOR OF COMPOUND SYSTEMS Introduction [374] 11 DYNAMIC STABILITY [376] 11.1 The concept of stability [377] 11.2 The elementary second-order system [379] 11.3 Locus of roots by graphical construction [384] 11.4 Damping as a variable [386] 11.5 Coupled pairs of first-order systems [392] 11.6 Feedback systems [393] 11.7 Third-order systems [396] 11-8 The root-locus method of Evans [401] 11.9 An introduction to root-locus sketching [404] 11.10 The method of Routh: third-order example [406] 11-11 Routh’s method: general case [409] 11.12 Special case of a zero term in the first column [415] 11.13 Special case of a zero row [416] 012 COUPLED MODES OF NATURAL MOTION: TWO DEGREES OF FREEDOM [419] 12.1 Forms of physical coupling [420] 12.2 Coupled equations of motion [423] 12.3 A simple vibrating system of coupled members [426] 12.4 The effect of coupling strength [431] 012.5 Beat generation [437] 12.6 Inertial coupling [442] 12.7 Normal coordinates [445] 12.8 General case, with damping: eigenvalues and eigenvectors [447] 013 COUPLED MODES OF NATURAL MOTION: MANY DEGREES OF FREEDOM [457] 13.1 Many degrees of freedom [458] 013.2 Distributed-parameter systems: equations of motion [462] 013.3 Natural motions of a class of one-dimensional distributed-parameter systems [467] 013.4 Brief description of general distributed-parameter systems [472] 013.5 Certain musical instruments [475] 013.6 A note on the musical scale [480] 13.7 Rayleigh’s method [482] PART D: TOTAL RESPONSE OF COMPOUND SYSTEMS Introduction [490] 14 est AND TRANSFER FUNCTIONS [492] 14.1 Review of the transfer-function concept [493] 14.2 Transferred response of subsystems in cascade [495] 14.3 Graphical evaluation of transfer functions from the system pole-zero diagram [497] 14.4 Transferred response of systems with general coupling [500] 14.5 Matrix representation and standard form [502] 14.6 Matrix description of eigenvector calculation [509] 015 FORCED OSCILLATIONS OF COMPOUND SYSTEMS [510] 15.1 Frequency response of subsystems in cascade [511] 15.2 Frequency response of systems with two-way coupling [514] 15.3 Resonance in coupled systems [518] 15.4 Design for a single frequency: the vibration absorber [525] 16 RESPONSE TO PERIODIC FUNCTIONS: FOURIER ANALYSIS [529] 16.1 Real Fourier series [529] 16.2 Complex Fourier series [533] 16.3 Spectral representation [534] 17 THE LAPLACE TRANSFORM METHOD [535] 17.1 Demonstration of the Laplace transform method [537] 17.2 Evolution of the Laplace transform [544] 17.3 Application of the Laplace transform: the one-sided Laplace transform [549] 17.4 Summary of basic Laplace transform relations [554] 17.5 Derivation of common Laplace transform pairs [555] 17.6 Transfer functions from Laplace transformation [559] 17.7 Total response by the Laplace transform method [562] 17.8 The final-value theorem and the initial-value theorem [567] 17.9 A system’s response to an impulse and its £ transform [572] 17.10 Initial conditions and impulse response: a physical interpretation [572] 17.11 Equations of motion in standard form: state variables [576] 17.12 Convolution and the Laplace transform [580] 18 FROM LAPLACE TRANSFORM TO TIME RESPONSE BY PARTIAL FRACTION EXPANSION [584] 18.1 Formulation of the task [584] 18.2 Partial fraction expansion: case one [585] 18.3 Special handling of complex conjugate poles [588] 18.4 Use of the s-plane pole-zero array to compute response coefficients [589] 18.5 The case of repeated poles: case two [592] 18.6 Summary of Procedure D-2: partial fraction expansion [595] 19 COMPLETE SYSTEM ANALYSIS: SOME CASE STUDIES [597] 19.1 A fluid clutch [600] 19.2 An electromechanical shaker [605] 19.3 A thermal quenching operation [610] 19.4 An aircraft hydraulic servo [614] 19.5 The two-axis gyroscope [617] PART E: FUNDAMENTALS OF CONTROL-SYSTEM ANALYSIS Introduction [628] FEEDBACK CONTROL [630] 20.1 The philosophy of feedback control [631] 20.2 Performance objectives [635] 20.3 The sequence of control-system analysis [637] 20.4 Review of dynamic coupling [638] 20.5 The algebra of loop closing [639] EVANS’ ROOT-LOCUS METHOD [644] 21.1 The basic principle [645] 21.2 Root-locus sketching procedure [651] 21.3 Sketching rules for 180° loci [653] 21.4 Rule 1: Real-axis segments [555] 21.5 Rule 2: Asymptotes [657] 21.6 Rule 3: Directions of departure and arrival [660] 21.7 Rule 4: Breakaway from the real axis [664] 21.8 Rule 4 (continued): The saddle-point concept [669] 21.9 Rule 5: Routh and Evans [673] 21.10 Rule 6: Fixed centroid [677] 21.11 A typical construction of root loci [678] 21.12 Summary [682] 22 SOME CASE STUDIES IN AUTOMATIC CONTROL [683] 22.1 Analysis of an electromechanical remote-indicator servo [683] 22.2 Synthesis of indicator servo using network compensation to improve performance [691] 22.3 Roll-control autopilot: a multiloop system [696] 22.4 Control of an unstable mechanical system: the stick balancer [703] APPENDICES A Physical conversion factors to eight significant figures [711] B Vector dot product and cross product [712] C Vector differentiation in a rotating reference frame [714] D Newton’s laws of motion [716] E Angular momentum and its rate of change for a rigid body; moments of inertia [718] F Fluid friction for flow through long tubes and pipes [721] G Duals of electrical networks [723] H Determinants and Cramer’s rule [725] I Computation with a Spirule [727] J Table of Laplace transform pairs [731] Problems [757] Answers to odd-numbered problems [865] Selected references [881] Index [885]
Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
---|---|---|---|---|---|---|---|---|
Libros | Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 00A79 C226 (Browse shelf) | Available | A-6894 |
CONTENTS --
1 DYNAMIC INVESTIGATION [1] --
1.1 The scope of dynamic investigation [3] --
1.2 The stages of a dynamic investigation [4] --
1.3 The block diagram: a conceptual tool [8] --
1.4 Stage I. Physical modeling: from actual system to physical model [10] --
1.5 Dimensions and units [19] --
PART A: EQUATIONS OF MOTION FOR PHYSICAL SYSTEMS --
2 EQUATIONS OF MOTION FOR SIMPLE PHYSICAL SYSTEMS: MECHANICAL, ELECTRICAL, AND ELECTROMECHANICAL [31] --
2.1 Stage II. Equations of motion: from physical model to mathematical model [32] --
2.2 One-dimensional mechanical systems [34] --
2.3 Mechanical energy and power [53] --
2.4 Gear trains and levers [54] --
2.5 Motion in two and three dimensions [57] --
2.6 Simple electrical systems [57] --
2.7 A recapitulation of Procedure A [74] --
2.8 Amplifiers and transformers [75] --
2.9 Simple electromechanical systems [79] --
02.10 Electromechanical elements: an empirical sampling [85] --
03 EQUATIONS OF MOTION FOR SIMPLE HEAT-CONDUCTION AND FLUID SYSTEMS [94] --
3.1 Simple heat conduction [94] --
3.2 Simple fluid systems [192] --
04 ANALOGIES [121] --
4.1 Analogies between physical media [121] --
4.2 The electrical analog of mechanical systems [125] --
4.3 Classification of dynamic system elements [132] --
4.4 The benefits and limitations of analysis by analog [133] --
4.5 The network approach to analysis [137] --
05 EQUATIONS OF MOTION FOR MECHANICAL SYSTEMS IN TWO AND THREE DIMENSIONS [143] --
5.1 Geometry of motion in two and three dimensions [143] --
5.2 Rotating reference frames [149] --
5.3 Dynamic equilibrium for rigid body in general motion [152] --
5.4 Equations of motion for systems of rigid bodies: examples [156] --
5.5 Advantages of the D’Alembert method. The gyro [159] --
5.6 Energy methods [163] --
5.7 Lagrange’s method [167] --
5.8 Lagrange’s method for conservative systems [169] --
5.9 Lagrange’s method for nonconservative systems [173] --
5.10 The relative advantages of Lagrange’s method [178] --
PART B: DYNAMIC RESPONSE OF ELEMENTARY SYSTEMS --
Introduction [180] --
6 FIRST-ORDER SYSTEMS [182] --
6.1 First-order systems [183] --
6.2 Natural (unforced) motion [186] --
6.3 Forced motion [193] --
6.4 Linearity and superposition [197] --
6.5 Initial conditions [200] --
06.6 Special case: the pure integrator [204] --
06.7 Special case: resonance [207] --
6.8 Response to a very short impulse [210] --
06.9 Initial conditions involving sudden change [218] --
06.10 Generalization to an arbitrary input: convolution [220] --
7 UNDAMPED SECOND-ORDER SYSTEMS: FREE VIBRATIONS [225] --
7.1 Physical vibrations [226] --
7.2 Complex numbers [236] --
7.3 Mathematical operations with complex numbers [238] --
7.4 Complex-vector (phasor) representation of a sine wave [242] --
8 DAMPED SECOND-ORDER SYSTEMS --
[244] --
8.1 Second-order systems [245] --
8.2 Natural motion [246] --
8.3 Dynamic characteristics and the s plane [248] --
8.4 Initial conditions: 1 < ζ [255] --
8.5 Initial conditions: ζ < 1 [257] --
08.6 Sketching time response when ζ < 1 [259] --
8.7 Initial conditions: ζ = 1 [263] --
8.8 Forced motion alone [266] --
8.9 Transfer functions and pole-zero diagrams [273] --
08.10 Impedance and admittance [280] --
8.11 Total response to abrupt disturbances [282] --
08.12 Transient and steady state [290] --
08.13 Impulse response of certain second-order systems [291] --
08.14 Response of a second-order system by convolution [298] --
08.15 Simulation: the analog computer [299] --
09 FORCED OSCILLATIONS OF ELEMENTARY SYSTEMS [309] --
9.1 The nature of sinusoidal response [311] --
09.2 Operation at a single frequency: the impedance viewpoint [313] --
9.3 Frequency response [314] --
9.4 Computing frequency response [321] --
9.5 Logarithmic scales for plotting frequency response [322] --
9.6 Forced oscillation of first-order systems: the plotting techniques of Bode [324] --
9.7 Forced oscillation of undamped second-order systems: resonance [330] --
9.8 Forced oscillation of damped second-order systems [335] --
09.9 Techniques for plotting second-order frequency response [337] --
9.10 Obtaining frequency response from the s plane [342] --
9.11 Seismic instruments [345] --
9.12 Frequency response of RLC circuits [352] --
010 NATURAL MOTIONS OF NONLINEAR SYSTEMS --
AND TIME-VARYING SYSTEMS [355] --
10.1 Methods of linear approximation [356] --
10.2 State-space analysis [360] --
10.3 Large motions of pendulum with damping [367] --
10.4 Piecewise-linear elements [369] --
10.5 Linear equations with time-varying coefficients [370] --
PART C: NATURAL BEHAVIOR OF COMPOUND SYSTEMS --
Introduction [374] --
11 DYNAMIC STABILITY [376] --
11.1 The concept of stability [377] --
11.2 The elementary second-order system [379] --
11.3 Locus of roots by graphical construction [384] --
11.4 Damping as a variable [386] --
11.5 Coupled pairs of first-order systems [392] --
11.6 Feedback systems [393] --
11.7 Third-order systems [396] --
11-8 The root-locus method of Evans [401] --
11.9 An introduction to root-locus sketching [404] --
11.10 The method of Routh: third-order example [406] --
11-11 Routh’s method: general case [409] --
11.12 Special case of a zero term in the first column [415] --
11.13 Special case of a zero row [416] --
012 COUPLED MODES OF NATURAL MOTION: TWO DEGREES OF FREEDOM [419] --
12.1 Forms of physical coupling [420] --
12.2 Coupled equations of motion [423] --
12.3 A simple vibrating system of coupled members [426] --
12.4 The effect of coupling strength [431] --
012.5 Beat generation [437] --
12.6 Inertial coupling [442] --
12.7 Normal coordinates [445] --
12.8 General case, with damping: eigenvalues and eigenvectors [447] --
013 COUPLED MODES OF NATURAL MOTION: MANY DEGREES OF FREEDOM [457] --
13.1 Many degrees of freedom [458] --
013.2 Distributed-parameter systems: equations of motion [462] --
013.3 Natural motions of a class of one-dimensional distributed-parameter systems [467] --
013.4 Brief description of general distributed-parameter systems [472] --
013.5 Certain musical instruments [475] --
013.6 A note on the musical scale [480] --
13.7 Rayleigh’s method [482] --
PART D: TOTAL RESPONSE OF COMPOUND SYSTEMS --
Introduction [490] --
14 est AND TRANSFER FUNCTIONS [492] --
14.1 Review of the transfer-function concept [493] --
14.2 Transferred response of subsystems in cascade [495] --
14.3 Graphical evaluation of transfer functions from the system pole-zero diagram [497] --
14.4 Transferred response of systems with general coupling [500] --
14.5 Matrix representation and standard form [502] --
14.6 Matrix description of eigenvector calculation [509] --
015 FORCED OSCILLATIONS OF COMPOUND SYSTEMS [510] --
15.1 Frequency response of subsystems in cascade [511] --
15.2 Frequency response of systems with two-way coupling [514] --
15.3 Resonance in coupled systems [518] --
15.4 Design for a single frequency: the vibration absorber [525] --
16 RESPONSE TO PERIODIC FUNCTIONS: FOURIER ANALYSIS [529] --
16.1 Real Fourier series [529] --
16.2 Complex Fourier series [533] --
16.3 Spectral representation [534] --
17 THE LAPLACE TRANSFORM METHOD [535] --
17.1 Demonstration of the Laplace transform method [537] --
17.2 Evolution of the Laplace transform [544] --
17.3 Application of the Laplace transform: the one-sided Laplace transform [549] --
17.4 Summary of basic Laplace transform relations [554] --
17.5 Derivation of common Laplace transform pairs [555] --
17.6 Transfer functions from Laplace transformation [559] --
17.7 Total response by the Laplace transform method [562] --
17.8 The final-value theorem and the initial-value theorem [567] --
17.9 A system’s response to an impulse and its £ transform [572] --
17.10 Initial conditions and impulse response: a physical interpretation [572] --
17.11 Equations of motion in standard form: state variables [576] --
17.12 Convolution and the Laplace transform [580] --
18 FROM LAPLACE TRANSFORM TO TIME RESPONSE BY PARTIAL FRACTION EXPANSION [584] --
18.1 Formulation of the task [584] --
18.2 Partial fraction expansion: case one [585] --
18.3 Special handling of complex conjugate poles [588] --
18.4 Use of the s-plane pole-zero array to compute response coefficients [589] --
18.5 The case of repeated poles: case two [592] --
18.6 Summary of Procedure D-2: partial fraction expansion [595] --
19 COMPLETE SYSTEM ANALYSIS: SOME CASE STUDIES [597] --
19.1 A fluid clutch [600] --
19.2 An electromechanical shaker [605] --
19.3 A thermal quenching operation [610] --
19.4 An aircraft hydraulic servo [614] --
19.5 The two-axis gyroscope [617] --
PART E: FUNDAMENTALS OF CONTROL-SYSTEM ANALYSIS --
Introduction [628] --
FEEDBACK CONTROL [630] --
20.1 The philosophy of feedback control [631] --
20.2 Performance objectives [635] --
20.3 The sequence of control-system analysis [637] --
20.4 Review of dynamic coupling [638] --
20.5 The algebra of loop closing [639] --
EVANS’ ROOT-LOCUS METHOD [644] --
21.1 The basic principle [645] --
21.2 Root-locus sketching procedure [651] --
21.3 Sketching rules for 180° loci [653] --
21.4 Rule 1: Real-axis segments [555] --
21.5 Rule 2: Asymptotes [657] --
21.6 Rule 3: Directions of departure and arrival [660] --
21.7 Rule 4: Breakaway from the real axis [664] --
21.8 Rule 4 (continued): The saddle-point concept [669] --
21.9 Rule 5: Routh and Evans [673] --
21.10 Rule 6: Fixed centroid [677] --
21.11 A typical construction of root loci [678] --
21.12 Summary [682] --
22 SOME CASE STUDIES IN AUTOMATIC CONTROL [683] --
22.1 Analysis of an electromechanical remote-indicator servo [683] --
22.2 Synthesis of indicator servo using network compensation to improve performance [691] --
22.3 Roll-control autopilot: a multiloop system [696] --
22.4 Control of an unstable mechanical system: the stick balancer [703] --
APPENDICES --
A Physical conversion factors to eight significant figures [711] --
B Vector dot product and cross product [712] --
C Vector differentiation in a rotating reference frame [714] --
D Newton’s laws of motion [716] --
E Angular momentum and its rate of change for a rigid body; --
moments of inertia [718] --
F Fluid friction for flow through long tubes and pipes [721] --
G Duals of electrical networks [723] --
H Determinants and Cramer’s rule [725] --
I Computation with a Spirule [727] --
J Table of Laplace transform pairs [731] --
Problems [757] --
Answers to odd-numbered problems [865] --
Selected references [881] --
Index [885] --
MR, *REVIEW #*
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