Fundamentals and advanced topics in dynamic analysis for piping , pressure vessel and rotating equipment engineers

The course will broadly cover

• Background theory of dynamic analysis

• Difference between static and dynamic analysis

• Governing equations

• Concepts of mass matrix, stiffness matrix, damping matrix,

• Mode participation factor, modal mass, missing mass, missing force,

• Dynamic amplification factor spectrum, seismic respond spectrum,

• Modal and spatial combination methods etc. .

Although these topics will be presented in a general way but their applications to CAESAR II modal, harmonic, force spectrum, seismic response spectrum and time history analysis methods will also be demonstrated.   The course will also cover some aspects of control parameters for dynamic analysis in CAESAR II and their significance like

• decomposition singularity tolerance, Sturm sequence check,

• subspace size, force orthogonalizations after convergence etc.

The concept of seismic anchor movement will also be included. The course will also cover some advanced topics  like frequency domain analysis (explaining the difference between time and frequency domain analyses) aka random vibration analysis.

This will include concepts like Fast Fourier transform (FFT), RMS presentation, velocity, displacement and acceleration frequency plots and their relative strengths and weaknesses. Some aspects of digital signal processing like windowing , frequency resolution, sampling rate, aliasing etc.  will also be covered. Different representations of vibration data like Bode diagram, orbit plot, polar plot, waterfall spectrum will also be covered.   

Some key aspects of probabilistic analysis concepts like probability based fatigue analysis for high frequency vibration etc. will also be covered.