Laplace Transforms in Shock & Vibration Analysis

Here are some useful references:

Laplace Transform Table

Partial Fractions

Bessel Functions

* * *

Examples of the Laplace Transform as a Solution for Mechanical Shock and Vibration Problems:

Free Vibration of a Single-Degree-of-Freedom System: free.pdf

Response of a Single-degree-of-freedom System Subjected to a Unit Step Displacement: unit_step.pdf

* * *

Base Excitation

Response of a Single-degree-of-freedom System Subjected to a Classical Pulse Base Excitation: sbase.pdf

Response of a Single-degree-of-freedom System Subjected to a Terminal Sawtooth Base Excitation: terminal_sawtooth.pdf

Response of a Single-degree-of-freedom System Subject to a Rectangular Pulse Base Excitation:  sbase_rectangular.pdf

* * *

Applied Force

Response of a Single-degree-of-freedom System Subjected to an Impulse Force: force_impulse.pdf

Response of a Single-degree-of-freedom System Subjected to a Unit Step Force: force_unit_step.pdf

Response of a Single-degree-of-freedom System Subject to a Half-Sine Applied Force: half_sine_force.pdf

Two-degree-of-freedom Subjected to a Dirac Delta Impulse:  Force: two_dof_impulse_force.pdf

* * *

See also:

Matlab Page

Structural Dynamics

Shock Response Spectrum

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– Tom Irvine

Contact Form:

2 thoughts on “Laplace Transforms in Shock & Vibration Analysis

  1. Pingback: Webinar Unit 2 Sine Vibration | Vibrationdata

  2. Pingback: Webinar 23 – Classical Shock Pulse | Vibrationdata

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