| Multi-shaker Vibration Testing for Single-Axis and MDOF 
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Interest in multi-shaker vibration testing has increased significantly in the past few years. Multi-shaker testing has proven to be very useful for single-axis testing of test articles that are too large to be driven by a single shaker. Multi-shaker testing is also capable of more accurately simulating the actual multi-degree of freedom (MDOF) vibration environment experienced by your products. This course will provide an introduction to multi-shaker testing. It will cover multi-shaker test configurations, including multi-shaker/multi-axis and multi-shaker/single-axis configurations. The course will also cover the basics of multi-shaker vibration control, including measurement of MDOF vibration, selection of the proper number and location of control accelerometers, multi-shaker system identification, and multi-shaker control. Multi-shaker test environments covered will include random, sine, shock, and time waveform replication. 
The course will include demonstrations of both multi-shaker/single-axis and multi-shaker/multi-axis testing.
Course outline     Who should attend?     Course materials     Instructor
Course outline
    - Overview of Multi-exciter Testing
    
        - Benefits of Multi-exciter Testing 
- Multi-exciter Single-axis (MESA) vs. Multi-exciter Multi-axis (MEMA) 
- Typical MDOF Coordinate Systems 
 
- Test Equipment Considerations 
    
        - Degrees of Freedom vs. Degrees of Constraint 
- Common Actuator Arrangements  
- Shaker Characteristics  
- Bearing/Coupling Considerations  
 
- System Identification for Linear Time Invariant Systems
    
        - MIMO Frequency Response Function 
- Matrix Inversion 
- Singular Value Decomposition 
- Over-determined Control 
- Kinematic Transformation 
 
- Transducer Considerations
    
        - Reference Data Considerations (Number and Locations of Control Transducers)
- Reference Point Kinematics for 6 DOF Replication 
 
- Multi Exciter Test Considerations
    
        - Multi-shaker Single Axis
        
            - Single Degree of Freedom (SDOF) vibration on a MDOF Shaker System 
- Compensation for Overturning Moments 
- SDOF Force and Response Limiting Considerations 
- Minimization of Cross-axis Vibration. 
 
- Multi-shaker Multi-axis
        
        
- Kinematic Transformation
        
            - 6 DOF Control 
- Flexible Mode Control 
 
- Multi Exciter Control Considerations
        
            - Time Waveform Replication 
- Random 
- Shock (SRS, Transient, Classical Pulses) 
- Sine 
- Mixed Mode (Sine on Random, Random on Random) 
 
 
- Demonstrations
    
        - Multi-shaker Single-axis 
- Multi-shaker Multi-axis 
- Kinematic Transformation 
 
Who should attend?
Information coming soon
    Course materials
    
        - Copy of PowerPoint presentation in course binder 
- Certificate of attendance for completion of CEUs 
Continuing Education Units: .6 CEUs
    
    Instructor
    
    Thomas Reilly