Introduction to Linear, Time-Invariant, Dynamic Systems for Students of Engineering
This on-line textbook is a challenging combination of system dynamics and responses, mechanical vibrations, mechanical and electrical systems, rigid body dynamics, and feedback control.
Covered are free and forced, undamped and damped responses, in both the frequency and time domain. The textbook focuses on linear time-invariant (LTI) systems, with time- and Laplace-solutions of the governing ordinary differential equations (ODEs). First-, second-, and fourth-order systems are included and considered. The time constant is presented for first-order LTI systems, and natural frequency, damping ratio, and resonance are presented for second-order LTI systems. Translational and rotational systems mechanical systems are included, with inertial, spring, and damping elements. Electrical circuit LTI systems with resistors, capacitors, inductors, and operational amplifiers are also presented. MATLAB software is applied as a tool and for examples throughout the book. Some examples and applications specific to Aerospace Engineering are presented throughout. System identification from experimental data and homework problems with real and simulated data are featured