This lesson covers the application of transform techniques in solving dynamic systems, with a focus on linear dynamic systems. It delves into the use of integral transform, particularly Laplace and Fourier transforms, in vibration analysis of linear systems. The lesson explains the properties of Laplace transform and how it simplifies complex differential equations into algebraic equations. It also discusses the concept of harmonic transfer function and general time history response using Fourier transform. The lesson further illustrates these concepts with examples of solving dynamic problems using Laplace transform and deriving transfer functions using Fourier techniques.

- Integral transform techniques, specifically Laplace and Fourier transforms, are effective in solving dynamic systems.
- Laplace transform simplifies complex differential equations into algebraic equations, making them easier to solve.
- The harmonic transfer function and general time history response can be derived using Fourier transform.
- The properties of Laplace transform, such as linearity and first and second derivatives, are crucial in solving dynamic problems.
- The concept of harmonic transfer function is significant in understanding the phenomenon of resonance in dynamic systems.

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