System dynamics is one of the major courses in mechanical engineering which aims to develop the abilities for modeling and analyzing dynamic systems. Main contents of the course cover basic knowledge, theories and methods as well as practical skills. The course is organized with lectures and computer classes, with the purpose to deliver specialized knowledge in dynamic system modeling and analysis, and develop problem-solving skills in mechanical engineering. It is expected that this course lays a solid foundation for other engineering-related courses. Instructions of the course will be consisted of in-class and out-of-class training in forms of lectures, discussions and researches to motivate learning interests and inspire innovative ideas. This course will also come with computer-based experiments (with Matlab) as well as multi-media tools.

Lectures (32 credit hours)
1. Course overview (2)
2. Mathematics fundamentals (6)
1) Complex numbers and functions, magnitude and phase angle
2) Laplace Transformation: definition and properties, Laplace transform of common/special functions, Laplace table
3) Inverse Laplace Transformation
4) Transfer Function Approach, block diagrams, relation between ordinary differential equation and transfer function
5) Pole and zeros, partial fraction expansion
3. Mechanical systems (8)
1) Lumped-parameter approach
2) Ideal elements and their constitutive equations
3) Linearization, introduction of nonlinear systems, Taylor expansion
4) Energy method, work, energy, & power, modal analysis, mode shapes and natural frequencies
5) Transformer, power conversion/flow, transmission mechanisms
4. Electrical Systems (8)
1) Ideal elements and their constitutive equations
2) Complex impedances, definition and properties
3) Operational amplifiers, transfer function and example of PID controller
4) Electromechanical conversion
5. Fluid and Thermal Systems (8)
1) Liquid-level systems, ideal elements and their constitutive equations
2) Definition of pressures and head
3) Hydraulic and Pneumatic systems
4) Linearization of fluid system, equilibrium/operating point
5) Thermal systems

Computer-based Experiments (16 credit hours)
1. Math fundamentals (4): Matlab programing for algebra calculation, matrix/vector operation, Laplace transform.
2. Mechanical systems (4): Transfer function, toolbox for mechanics, plotting figures.
3. Electrical Systems (4): Optimal amplifier, introduction of Simulink.
4. Fluid and Thermal Systems (4): Sisotool, simulation of system dynamics.


1、K. Ogata, System Dynamics, Fourth Edition, Prentice Hall, 2004;
2、Katsuhiko Ogata, Modern Control Engineering, Fifth Edition, Prentice Hall, 2011