Shock and Vibration: A Crash Course

  • Overview
  • Course Content
  • Requirements & Materials
Overview

Shock and Vibration: A Crash Course

Course Description

This course covers principles and real-world applications of shock and vibration analysis and testing. Participants will learn about core vibration theory of single-degree of freedom (SDOF), multi-degree of freedom (MDOF). and continuous systems.  Additional topics include modal analysis; response spectrum analysis; common environment specifications like shock response spectrum (SRS), random vibration power spectral density (PSD), and sinusoidal vibration; shock severity estimation and pseudovelocity; Fourier Transforms; as well as aliasing in test and analysis. During this three-day training, learners will develop a deeper understanding of shock and vibration theory and its applications through practical examples.

Course Content

SDOF Vibration

  • Free vibration of undamped and underdamped SDOF systems in response to initial conditions
  • Forced vibration of undamped and underdamped SDOF systems
  • Vibration of undamped and underdamped SDOF systems in response to base excitation
  • Frequency response functions
     

MDOF Vibration

  • Matrix differential equations of motion
  • Free and forced vibration response by eigenvalue decomposition (modal analysis)
  • Forced vibration response via response spectrum analysis
  • Brief overview of extension to finite element methods
     

Continuous Systems Vibration

  • Free and forced axial vibration of prismatic bars via modal decomposition
  • Free and forced lateral (bending) vibration of prismatic bars via modal decomposition
  • Frequency response functions and understanding modal testing results

Frequency Domain Methods

  • Fourier transform and understanding frequency domain methods
  • Aliasing and how to avoid it in test (and analysis)
  • Overview of modal testing

Shock

  • Shock response spectrum (SRS)
  • Shock severity estimation and comparison via pseudovelocity
  • Common pitfalls

Random Vibration

  • Power spectral density (PSD)
  • Common pitfalls

Sinusoidal Vibration

  • Typical specifications
  • Common pitfalls
Requirements & Materials

Prerequisites

RECOMMENDED:

It is recommended that participants understand basic material properties (modulus, density) as well as static bending stiffness of prismatic bars. Familiarity with eigenvalue decomposition and matrix diagonalization is also helpful.

REQUIRED:

  • Basic knowledge of calculus (derivatives and integrals)
  • Mechanics (construction of free body diagrams and deriving basic equations of motion)
  • Basics of matrix arithmetic
     

Materials

PROVIDED (Student will receive):

Course notes, example code, and core library functions to get students started (Python)

Who Should Attend

This course is designed for early career engineers, individuals transitioning into shock and vibration related roles, and those who learned needed skills on the job and are now looking to deepen their knowledge of shock and vibration theory.

A man in a learning session

What You Will Learn

  • Core vibration theory and how to apply it to a wide range of common shock and vibration problems
  • Response estimation via modal methods (modal transient and response spectrum)
  • Common shock and vibration environment specifications and how to use them
  • Common pitfalls and ways to avoid them
Defense tech professionals attending a short course

How You Will Benefit

  • Understand vibration and shock theory and how to apply it to common problems in multiple industries.
  • Avoid common mistakes, pitfalls, and misunderstandings.
  • Build a greater awareness of shock and vibration analysis and testing principles.

TRAIN AT YOUR LOCATION

We enable employers to provide specialized, on-location training on their own timetables. Our world-renowned experts can create unique content that meets your employees' specific needs. We also have the ability to deliver courses via web conferencing or on-demand online videos. For 15 or more students, it is more cost-effective for us to come to you.

  • Save Money
  • Flexible Schedule
  • Group Training
  • Customize Content
  • On-Site Training
  • Earn a Certificate
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