Root Cause Analysis
- Modal ContributionThe E-Line method is a time domain analysis approach, using Modal Transient Analysis, also known as the Modal Superposition Method. This enables a transition to the frequency domain. (1)  
 Where:- U(t) is the time domain displacement
- N is the number of modes extracted
- mi is the
                                    Modal displacementfor a mode i
- ѱi is the
                                    Participation factorfor mode i
 With all the above responses available in the standard outputs from OptiStruct Analysis, the Relative Modal Contribution [%] values can be calculated. These will describe the participation of a mode or modes on a peak of the time domain response.  
 Figure 1.
- Modal SensitivityThe modal sensitivity allows the analyst to live perform what-if studies by altering the time domain response of an E-Point or complete E-Line. This is achieved by decomposition of the Modal Superposition response, applying a factor (between 0 and 1) on selected modes, damping, canceling or isolating them.  
 Figure 2.