Vibratory Mechanics: Continuous Systems

Related lectures (29)

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Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores integrating loads to deform beams, emphasizing boundary conditions and practical applications in stress analysis.

Covers the fixed energy propagator, including its analytic structure and examples of free particle and barrier penetration.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers the numerical resolution of groundwater flows using finite elements and emphasizes the importance of spatial and temporal discretization.

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.