Earthquake response of semi-rigid supported single storey frames modeled as continuous system

Abstract

Spectral analysis of semi-rigid supported single storey frames modeled as Timoshenko column with attached mass is studied for earthquake response including rotatory inertia of the columns. The earthquake response of the single storey frames is evaluated by Newmark-ß method where generalized equation of motion is derived by substituting energy relations of the model into Langrange's equation. Response spectrum analysis of the model subjected to Izmit earthquake is made by Newmark-ß method for period values of 0 to 3 seconds using a computer program. Langrange's equation and kinetic, potential, load energies of the model are analyzed using transformation and boundary conditions. Results show that displacement, velocity, acceleration response spectrum of semi-rigid supported single storey frames are 10000, 100000 and 10000000 (t/m, tm/rad) respectively.