(a) Write down the dynamic equation of force equilibrium in matrix/vector form and 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.

(a) Write down the dynamic equation of force equilibrium in matrix/vector form and 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.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter12: Forecasting Travel Demand

Section: Chapter Questions

Problem 15P

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(a) Write down the dynamic equation of force equilibrium in matrix/vector form and 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…
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