VCPD231_VCPD0824 - Applied Shock and Vibration Analysis and Design (Virtual Classroom) has been added to your cart.

Applied Shock and Vibration Analysis and Design (Virtual Classroom)

Learn how to compute natural frequencies and response to dynamic forces, and designs to reduce vibration of new and existing systems.

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  • Aug 12-16th, 2024


  • Nov 04-08th, 2024


  • Mar 10-14th, 2025




This course runs from 9 AM to 2 PM Eastern each day, with breaks scheduled throughout.

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In this intermediate level course, engineers with backgrounds in mechanical, structural or related engineering disciplines will learn how to compute natural frequencies and response to dynamic forces, and designs to reduce vibration of new and existing systems. Machineries, shafts and rotor systems, rotating equipment, their supports and foundations, vibration absorbers (tuned mass dampers), vibration isolators, shock loads and shock spectra, earthquakes, transportation vibrations, flow-induced vibrations and vibration monitoring are all discussed. 

How to benchmark analytical results with test results or field data will also be taught. Emphasis is not on derivation of equations, but rather on assumptions and limitations of various analysis techniques and guidelines on when to use which method. Thirty-two detailed, step-by-step, worked-out examples of analysis and design are presented at appropriate junctures throughout the course. Five case histories are also presented to demonstrate how the various concepts and methods presented in the course are applied in complex vibration projects.

You Will Learn To

  • Compute frequencies of complex equipment, structures and systems
  • Compute dynamic response to a variety of operational and environmental forces
  • Compute equivalent static loads
  • Employ different methods of reducing vibrations of new and existing equipment and structures, including frequency separation techniques, dampening, vibration absorbers, tuned mass dampers, and vibration isolation
  • Perform calculations related to special topics, such as solid-fluid systems and flow-induced vibrations

Who Should Attend

Engineers, engineering supervisors and managers responsible for designing or qualifying mechanical components, equipment, piping and structures subjected to dynamic forces; those responsible for auditing, reviewing, or approving shock and vibration analysis tasks. Those with a few years of experience in vibration analysis as well as those who are new to the area will benefit. No prior knowledge of structural dynamics is necessary.

Course Materials (included in purchase of course): 

Digital course notes via ASME’s Learning Platform 

This ASME Virtual Classroom course is held live with an instructor on our online learning platform. Certificate of completion will be issued to registrants who successfully attend and complete the course.


Topics Covered

  • Introduction
  • Single-degree-of-freedom systems (SDOF)
    • Free Vibration: Natural frequencies and critical damping
    • Forced Vibration: Harmonic, transient, and impulse forces
    • Base excitations: response spectra
    • Dynamic amplification factors
    • Resonance
    • Equivalent Static Load
    • Torsional vibration
    • How to reduce vibration levels in SDOF
  • Shock spectrum
    • How to develop shock spectra from force time histories
    • How to use shock spectra to compute dynamic response to shock loads
  • Multiple-degrees-of-freedom systems (MDOF)
    • Natural frequencies and mode shapes
    • Direct Time-history response analysis
    • Modal Time-history response analysis
    • Shock spectrum method of response analysis
    • Comparison of Methods: Relative advantages, accuracy and suitability
    • How to reduce vibration levels in MDOF 
  • Earthquakes and Other Base Excitations
    • Load specification
    • Time-History Analysis
    • Response Spectrum Analysis
    • Design Aspects
  • Finite Element Analysis (FEA)
    • Basic concepts, assumptions and limitations
    • Guidelines to FE modeling (keys to successful analysis)
    • Example FE models and results
  • Modal testing of equipment and structures
    • Definitions
    • Practical aspects
  • Test-Analysis Correlation
    • Sources of errors in test results
    • Sources of errors in analysis
    • Test-analysis correlation of natural frequencies
    • Fine-tuning analysis models using test-analysis correlations
  • Torsional vibrations (shafts, disks, and rotors)
  • Vibration Absorbers (Tuned-Mass Dampers)
    • Basic Concepts
    • Analysis and design
    • Where used?
    • Advantages and disadvantages
  • Vibration Isolation
    • Basic Concepts
    • Design
    • Where used?
    • Advantages and disadvantages
  • Transportation of Sensitive Equipment
    • Forces during transportation (oscillatory, shock and drop forces)
    • Qualification by analysis
  • Vibration of Rotating Equipment
    • Forces acting on rotating equipment
    • Response computation
    • Design to meet manufacturer or operator specifications
  • Foundations for Rotating Equipment
    • Harmonic forces due to operation of rotating machines
    • Modeling foundation stiffness and damping
    • Design to avoid resonance and/or large displacements
  • Flow-Induced Vibrations
    • Vibration mechanisms
    • Design against vortex shedding
    • Vortex suppressors
  • Machinery Vibration Monitoring and Problem Diagnosis
    • Periodic and continuous vibration monitoring
    • Methods and equipment
    • “Symptoms” and diagnosis
  • Worked-out Numerical Examples
    • 32, detailed, step-by-step, worked-out examples of analysis and design are presented in the various chapters
  • Case Histories
    • Five case histories are presented to demonstrate how the various concepts and methods presented in the course are applied in complex vibration projects

Chelliah Raj Sundararajan, Ph.D., FASME

President, EDA Consultants Engineering

Dr. C. (Raj) Sundararajan has over 40 years of experience in structural vibration analysis. He has been teaching ASME courses since 1992.

More Information


Virtual Classroom

Live course with an instructor and peers held in an online learning environment with digital enhancements and online materials.
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