Introduction to linear, time-invariant dynamic systems for students of engineering /
Hallauer, William L
Introduction to linear, time-invariant dynamic systems for students of engineering / William L. Hallauer, Jr - 2016 - 1 online resource : illustrations - Updated irregularly - - Open textbook library . - Open Textbook Library .
Includes bibliographical references and index
Introduction; examples of 1st and 2nd order systems; example analysis and MATLAB graphing -- Complex numbers and arithmetic; Laplace transforms; partial-fraction expansion -- Mechanical units; low-order mechanical systems; simple transient responses of 1st order systems -- Frequency response of 1st order systems; transfer function; general method for derivation of frequency response -- Basic electrical components and circuits -- General time response of 1st order systems by application of the convolution integral -- Undamped 2nd order systems: general time response; undamped vibration -- Pulse inputs; Dirac delta function; impulse response; initial value theorem; convolution sum -- Damped 2nd order systems: general time response -- 2nd order systems: frequency response; beating response to suddenly applied sinusoidal (SAS) excitation -- Mechanical systems with rigid-body plane translation and rotation -- Vibration modes of undamped mechanical systems with two degrees of freedom -- Laplace block diagrams, and additional background material for the study of feedback-control systems -- Introduction to feedback control: output operations for control of rotational position -- Input-error operations: proportional, integral, and derivative types of control -- Introduction to system stability: time-response criteria -- Introduction to system stability: frequency-response criteria -- Appendix A: Table and derivations of Laplace transform pairs -- Appendix B: Notes on work, energy, and power in mechanical systems and electrical circuits
Open Access Electronic Book
"This is a complete college textbook, including a detailed Table of Contents, seventeen Chapters (each with a set of relevant homework problems), a list of References, two Appendices, and a detailed Index. The book is intended to enable students to: Solve first-, second-, and higher-order, linear, time-invariant (LTI) ordinary differential equations (ODEs) with initial conditions and excitation, using both time-domain and Laplace-transform methods; Solve for the frequency response of an LTI system to periodic sinusoidal excitation and plot this response in standard form; Explain the role of the time constant in the response of a first-order LTI system, and the roles of natural frequency, damping ratio, and resonance in the response of a second-order LTI system; Derive and analyze mathematical models (ODEs) of low-order mechanical systems, both translational and rotational, that are composed of inertial elements, spring elements, and damping devices; Derive and analyze mathematical models (ODEs) of low-order electrical circuits composed of resistors, capacitors, inductors, and operational amplifiers; Derive (from ODEs) and manipulate Laplace transfer functions and block diagrams representing output-to-input relationships of discrete elements and of systems; Define and evaluate stability for an LTI system; Explain proportional, integral, and derivative types of feedback control for single-input, single-output (SISO), LTI systems; Sketch the locus of characteristic values, as a control parameter varies, for a feedback-controlled SISO, LTI system; Use MATLAB as a tool to study the time and frequency responses of LTI systems ..."--Open Textbook Library
Mode of access: World Wide Web
Systems engineering--Textbooks.
Electronic books
Textbooks.
Textbooks.
TA168 / .H35eb
Introduction to linear, time-invariant dynamic systems for students of engineering / William L. Hallauer, Jr - 2016 - 1 online resource : illustrations - Updated irregularly - - Open textbook library . - Open Textbook Library .
Includes bibliographical references and index
Introduction; examples of 1st and 2nd order systems; example analysis and MATLAB graphing -- Complex numbers and arithmetic; Laplace transforms; partial-fraction expansion -- Mechanical units; low-order mechanical systems; simple transient responses of 1st order systems -- Frequency response of 1st order systems; transfer function; general method for derivation of frequency response -- Basic electrical components and circuits -- General time response of 1st order systems by application of the convolution integral -- Undamped 2nd order systems: general time response; undamped vibration -- Pulse inputs; Dirac delta function; impulse response; initial value theorem; convolution sum -- Damped 2nd order systems: general time response -- 2nd order systems: frequency response; beating response to suddenly applied sinusoidal (SAS) excitation -- Mechanical systems with rigid-body plane translation and rotation -- Vibration modes of undamped mechanical systems with two degrees of freedom -- Laplace block diagrams, and additional background material for the study of feedback-control systems -- Introduction to feedback control: output operations for control of rotational position -- Input-error operations: proportional, integral, and derivative types of control -- Introduction to system stability: time-response criteria -- Introduction to system stability: frequency-response criteria -- Appendix A: Table and derivations of Laplace transform pairs -- Appendix B: Notes on work, energy, and power in mechanical systems and electrical circuits
Open Access Electronic Book
"This is a complete college textbook, including a detailed Table of Contents, seventeen Chapters (each with a set of relevant homework problems), a list of References, two Appendices, and a detailed Index. The book is intended to enable students to: Solve first-, second-, and higher-order, linear, time-invariant (LTI) ordinary differential equations (ODEs) with initial conditions and excitation, using both time-domain and Laplace-transform methods; Solve for the frequency response of an LTI system to periodic sinusoidal excitation and plot this response in standard form; Explain the role of the time constant in the response of a first-order LTI system, and the roles of natural frequency, damping ratio, and resonance in the response of a second-order LTI system; Derive and analyze mathematical models (ODEs) of low-order mechanical systems, both translational and rotational, that are composed of inertial elements, spring elements, and damping devices; Derive and analyze mathematical models (ODEs) of low-order electrical circuits composed of resistors, capacitors, inductors, and operational amplifiers; Derive (from ODEs) and manipulate Laplace transfer functions and block diagrams representing output-to-input relationships of discrete elements and of systems; Define and evaluate stability for an LTI system; Explain proportional, integral, and derivative types of feedback control for single-input, single-output (SISO), LTI systems; Sketch the locus of characteristic values, as a control parameter varies, for a feedback-controlled SISO, LTI system; Use MATLAB as a tool to study the time and frequency responses of LTI systems ..."--Open Textbook Library
Mode of access: World Wide Web
Systems engineering--Textbooks.
Electronic books
Textbooks.
Textbooks.
TA168 / .H35eb