Lesson 4-5: (P2) Dynamics of Vibration, Attenuation and Time History Flashcards
2 seismic design approaches
- static analysis
- dynamic analysis
formulated by estimating an equivalent lateral seismic loads as a fraction of the total system weight
static analysis
the fraction is determined from a notional earthquake, which is based on the risk posed by the seismicity of the site and is captured in a single graph known as the _____
response spectrum
the procedure for this analysis models the load effect of earthquakes more accurately by using either a set of specific earthquake ground motion time history records (response time-history analysis procedure) or the effect of same notional earthquake as the equivalent static analysis (the design response spectrum)
dynamic analysis
this variable, along with the mass, is needed to determine the circular frequency, which once obtained can be used to determine the natural period of vibration of the system
structural stiffness (k)
defined as the ratio of force (or moment) to displacement (or rotation)
stiffness
it is central to the understanding of vibration theory
DOF
an independent displacement or rotation of a point on a structure, which means that even the simplest case could potentially have an infinite number
DOF
determination of DOFs depends on the _____
idealization of the structural system
often points of interests of DOF
ends of a member
caused by initial conditions (displacement and velocity) and not by applied force
free vibration
2 theories of free vibration response of undamped systems
- application of equilibrium equation to FBD using D’Alembert’s principle
- Newton’s 2nd law, F = ma.