Civil Engineering Reference
In-Depth Information
Figure 9.10
Nonlinear analysis algorithm
of a single differential equation of motion. If the physical properties of the structure are
such that its motion can be described by a single coordinate and no other motion is possible,
it is actually a SDOF system, and the solution of the equation of motion provides the exact
dynamic response. On the other hand, if the structure actually has more than one possible mode
of displacement and it is reduced mathematically to a SDOF approximation by assuming its
deformed shape, the solution of the equation of motion is only an approximation of the true
dynamic behavior.
