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Introduction to Dynamics and Control in Mechanical Engineering Systems
By
ISBN:
9781118934920
No. of Pages:
272
Publisher:
ASME-Wiley
Publication date:
2016
eBook Chapter
2 Review of Laplace Transforms
Page Count:
22
-
Published: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.).
Topics:
Laplace transforms
2.1
Definition
2.2First and Second Shifting Theorems
2.3Dirac Delta Function (Unit Impulse Function)
2.4Laplace Transforms of Derivatives and Integrals
2.5Convolution Theorem
2.6Initial and Final Value Theorems
2.7Laplace Transforms of Periodic Functions
2.8Partial Fraction Method
2.9Questions and Solutions
2.10Applications of MATLAB
Exercise Questions
References
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