b) Discuss the differences between (i) frequency and (ii) time domain dynamic structural analyses. Which of these two approaches should be used
(a) Write down the dynamic equation of force equilibrium in matrix/
identify each term in that equation.
b) Discuss the differences between (i) frequency and (ii) time domain dynamic structural
analyses. Which of these two approaches should be used for nonlinear analyses (explain
why) and suggest why it is always valuable to first undertake a frequency analysis.
(c) Under what circumstances might you use an explicit time-stepping scheme rather than
an implicit time-stepping scheme when undertaking a dynamic analysis? Comment on
any limitations of that approach and explain why use of a lumped (rather than
consistent) mass matrix offers advantages.
(d) Provide a list of examples of different types of finite elements used in 2D and 3D
structural analyses. Which of these element types would be most suited to represent
the reinforced concrete shear walls in the core of a multi-storey building? Comment on
whether the same elements could be used for both static and dynamic analyses.
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