Vibration Analysis using FEA: A Hands-on Workshop     


I.D.# C0830Printable Description
Duration: 2 Days

FEA has been used by engineers as a design tool in new product development since the early 1990's. Until recently, most FEA applications have been limited to static analysis due to the cost and complexity of advanced types of analyses. Progress in the commercial FEA software and in computing hardware has now made it practical to use advanced types as an every day design tool of design engineers. In addition, competitive pressures and quality requirements demand a more in-depth understanding of product behavior under real life loading conditions.

This seminar introduces one of the advanced types of FEA: vibration analysis. By considering time dependent loads and inertial effects, vibration analysis allows for a more in-depth product simulation thus reducing product development cost and time. The course reviews basic concepts of vibration analysis and illustrates how they are implemented in FEA to simulate product behavior. The most common types of vibration analysis such as modal, time response, frequency response and random vibrations are covered. Participants will have the opportunity to practice skills learned utilizing the commercial FEA software SolidWorks Simulation.

Note: A similar course is available live online.

Learning Objectives
By attending this seminar, you will be able to:

  • Evaluate the importance of dynamic effects in product simulation
  • Analyze inertial and damping effects in structural response
  • Use vibration analysis as a design tool
  • Perform time response, frequency response and random vibration analyses
  • Apply proper FEA modeling techniques to model system dynamic

Who Should Attend
The seminar will be of interest to any design engineer who already uses Finite Element Analysis (FEA) as a design tool and would like to explore if and how vibration analysis with FEA may benefit the design process. It builds on participants' experience with static FEA and on knowledge of mechanical vibrations common to any mechanical engineer.

Participants should have a degree in mechanical engineering and have some experience with FEA either by participating in the SAE seminar ID# 93006 - "Finite Element Analysis for Design Engineers" or through equivalent work experience.

Topical Outline

  • Structure vs. Mechanism
  • Fundamental Assumptions in the FEA
  • Verification and Validation of FEA Results
  • Modal Analysis
    • Convergence of frequencies
    • Rigid body modes
    • Properties of lower and higher modes
    • Eigenvalues and eigenvectors
    • Modal superposition method
    • Modes separation
    • Modeling techniques in modal analysis
  • Time Response Analysis
    • Time depended load
    • Impulse load
    • Static vs. dynamic response
    • Time response of a single degree of freedom oscillator
  • Frequency Response Analysis
    • Steady state harmonic response
    • Force and base excitation
    • Resonance
    • Modal damping
    • Frequency response of two degrees of freedom oscillator
  • Random Vibration
    • Acceleration power spectral density
    • Interpretation of random vibration results
  • Linear vs. Non-linear Vibration Analysis
  • Modeling Considerations in Vibration Analysis

Instructor(s): Paul Kurowski
Dr. Paul Kurowski is a professor in the Department of Mechanical and Materials Engineering at the University of Western Ontario in London, Ontario. His teaching experience includes finite element analysis, machine design, mechanics of materials, kinematics and dynamics of machines, and product development. He is also the President of Design Generator Inc., a consulting firm specializing in product development, design analysis and training in Computer Aided Engineering methods.

Dr. Kurowski has published multiple technical papers and taught professional development seminars for SAE International, the American Society of Mechanical Engineers, the Association of Professional Engineers of Ontario, the Parametric Technology Corp. (PTC), Rand Worldwide, SolidWorks Corp. and other companies and professional organizations. He contributes regularly to several engineering publications focusing on the implementation of CAE methods into the product development process. He is a member of SAE International and the Association of Professional Engineers of Ontario. Dr. Kurowski obtained his M.Sc. and Ph.D. in Applied Mechanics from Warsaw Technical University and completed postdoctoral work at Kyoto University.

Fees: $1365.00 ; SAE Members: $1095.00 - $1235.00

1.3 CEUs
You must complete all course contact hours and successfully pass the learning assessment to obtain CEUs.

For additional information, contact SAE Customer Service at 1-877-606-7323 (724/776-4970 outside the U.S. and Canada) or at

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