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Introduction to Dynamics and Control in Mechanical Engineering Systems
By
C. W. S. To
C. W. S. To
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ISBN:
9781118934920
No. of Pages:
272
Publisher:
ASME-Wiley
Publication date:
2016

Laplace transformation is one of several powerful transformations that can be applied to the analysis of signals and dynamic engineering problems. In the context of dynamic and control system analysis, Laplace transforms are applied to obtain the transfer functions and, in turn, the block diagram representation, and the solutions of linear differential equations. Of course, they can be applied to obtain the solutions of partial differential equations (p.d.e.).

2.1
Definition
2.2
First and Second Shifting Theorems
2.3
Dirac Delta Function (Unit Impulse Function)
2.4
Laplace Transforms of Derivatives and Integrals
2.5
Convolution Theorem
2.6
Initial and Final Value Theorems
2.7
Laplace Transforms of Periodic Functions
2.8
Partial Fraction Method
2.9
Questions and Solutions
2.10
Applications of MATLAB
Exercise Questions
References
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