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KU Aerospace Short Course Program

Dynamics for Aerospace Structures

Instructor: Dennis C. Philpot
Printable Course Information (PDF)

Course Schedule

September 19-22, 2017, San Diego, California

Early registration course fee: $2,195 if you register and pay by August 4, 2017

Regular registration course fee: $2,395 if you register and pay after August 4, 2017

San Diego Lodging and Travel Information

You can also bring this course to your workplace. Learn more about our on-site program.

Description

This course is designed to provide participants with strong theoretical, as well as practical knowledge of the methodologies for performing rigid body and modal-based dynamics analysis on a wide range of structural and mechanical systems. The course builds upon the theoretical foundation with practical applications that can be immediately put into practice in the workplace. In this manner, both the theory and practice of classical “hand” analysis techniques are presented, along with the more modern (numerical/computational) methods used in the industry. The subject matter difficulty-level is intermediate.


Includes instruction, course materials, refreshments and lunches. The course notes are for participants only and are not for sale.

Highlights

  • Solid mechanics: the big picture
  • Dynamics for structural verification
  • Time-domain vs. frequency-domain analysis
  • The structural dynamics analysis process
  • Kinetic energy and momentum
  • Strain energy in structural elements
  • d’Alembert’s Principle
  • Mode shapes, boundary conditions and natural frequencies
  • The nature of dynamic response
  • Newtonian dynamics: first- and second-order systems
  • Response of first-order systems to various load conditions
  • Second-order systems
  • Dynamic response of second-order systems
  • Introduction to random vibration
  • Probability density functions
  • Power spectral density functions
  • Multiple-degree-of-freedom (MDOF) Systems
  • Computation of eigenvectors and eigenvalues
  • Dynamic response of MDOF Systems
  • Common failure modes for dynamically-loaded structures
  • Practical examples for the aerospace industry
  • Shock and vibration testing
  • Introduction to MIL-STD-810G
  • Deriving environments from flight test data
  • Computing RMS values of acceleration, velocity and displacement

Who Should Attend?

Design engineers who would like to become more familiar with the techniques and modern practices of dynamics analysis to help them be more knowledgeable and bring more capability to the work place. Mechanical engineers who need to become more proficient in the area of structural dynamics due to a particular job assignment or new career opportunity. Department managers whose staff are involved in loads and dynamics work.

Times / CEUs

28.00 classroom hours
2.800 CEUs

Certificate Tracks

Aircraft Design, Aircraft Structures

Learning Objectives

Upon completing this course, participants should be able to:

  • Identify and correct problematic designs based on dynamic analysis results
  • Assess primary and secondary structure due to a plethora of dynamic loading conditions
  • Understand the theory behind classical and numerical methods of structural dynamics
  • Define environments for shock and vibration testing based on accelerometer data
  • Work with government standards in the area of shock and vibration testing
  • Speak knowledgeably in the area of structural dynamics to customers and management

Course Outline

Day 1
Introduction

  • The concept of dynamic response
  • Solid mechanics: the big picture
  • The product development process
  • Analysis in mechanical design
  • Analysis for structural verification
  • Time-domain vs. frequency-domain analysis
  • The structural dynamics analysis process
  • The importance of analysis early in the design cycle

Foundational Topics

  • Kinetic energy and momentum
  • Strain energy in structural elements
  • Virtual work
  • d’Alembert’s Principle
  • Generalized coordinates
  • Lagrange’s equations of motion
  • The Superposition Principle
  • Unit impulse response
  • Duhamel’s Integral

Loads, Mode Shapes & Boundary Conditions

  • Learn to think like a dynamicist
  • Dynamic loads: primary or secondary
  • Load categories
  • What is meant by quasi-static loads
  • Mode shapes, boundary conditions and natural frequencies
  • The nature of dynamic response
  • Extensive example

Day 2
Newtonian Dynamics: First- and Second-Order Systems

  • First-order systems
  • Response of first-order systems to harmonic loads
  • Second-order systems
  • Dynamic response of second-order systems
  • Viscous and structural damping
  • Force transmission of second-order systems
  • Second-order systems subjected to inertial harmonic loading
  • Second-order systems subjected to shock loading

Introduction to Random Vibration

  • Probability density functions
  • Fourier transforms
  • The autocorrelation function
  • Power spectral density functions
  • Frequency domain analysis
  • Response of SDOF systems to random vibration
  • Miles’ Equation
  • Random vibration environments in mechanical design

Multiple-Degree-of-Freedom (MDOF) Systems

  • Introduction to MDOF systems
  • Computation of Eigenvectors and Eigenvalues
  • Static and inertial coupling of modes
  • Uncoupling MDOF systems into natural coordinates
  • Orthogonality of modes
  • MDOF systems with damping
  • Modal effective mass

Day 3

Dynamic Response of MDOF Systems

  • Direct integration of the equations of motion
  • Numerical methods
  • Runge-Kutta program flow chart
  • Numerical solutions to MDOF systems
  • Modal superposition
  • Modal participation factors
  • Rigid body motion
  • Modal truncation vectors
  • Comparison of methods

The Finite Element Analysis Method

  • How finite elements are derived
  • Modern finite element analysis
  • Preprocessing essentials
  • Basis of dynamic analyses
  • Frequency response analysis
  • Transient response analysis
  • FEA solution examples
  • Eigenvalues and Eigenvectors
  • Frequency response analysis example
  • Modal transient analysis example

Structural Dynamics in Mechanical Design

  • Common failure modes for dynamically-loaded structures
  • Strength
  • Fatigue
  • Other common failure modes
  • Practical examples for the aerospace industry
  • Electronic packaging analysis
  • Airplane wing analysis

Day 4

Shock and Vibration Testing

  • Background and motivation
  • Introduction to MIL-STD-810G
  • Deriving environments from flight test data
  • Testing for random vibration environments
  • Testing for shock environments
  • Environmental stress screening
  • Computing RMS values of acceleration, velocity and displacement
  • Sine sweep testing for determination of natural frequency and damping ratio




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On-site Contact Information

To learn about bringing a course to your workplace, contact Sarah Williams, on-site program manager, for a no-cost, no-obligation proposal.
Email ProfessionalPrograms@ku.edu
Phone 913-897-8782

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