I'm trying to do dynamic analysis on a simple structure. Almost all the examples I get on the book, the stiffness formed is simplified into 1 member with 1 centralized mass (picture: simplified.jpg).
But we know for each level (example on the shape of the frame) itself is composed of 3 members. (picture: simple frame.jpg)
furthermore stiffness equation that used is from the stiffness factor (picture: stiffness factor.jpg), not based on the equations of finite element method (such as like frame, truss, grid, beam, etc) (picture: stiffness matrix.jpg).
I would be very grateful to get an explanation from anyone.
Stiffness factor is a terminology used in moment distribution method. It is the ratio of the moment of inertia to member length for a beam/ frame member. The relative values at a joint are used to arrive at distribution factors at the joint.
Dear Muhammad Ichsan
To do dynamic analysis by hand calculation, each story of a building (level) will be modeled as in "1 member with 1 centralized mass".The member represents all columns, while the mass represents the mass of the floor above these columns.
For more detailed dynamic analysis, software should be used, and the equation:
{M] .{a} + [V].{c} + [K].{d} = {F}
is used.
Dear Mr Muhannad,
Can I make a model by not assuming "1 member with 1 centralized mass", but using stiffness derivation of finite element method? What assumptions apply to such conditions?
regards, Ichsan
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