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Verification Example 06

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Vassilis Papanikolaou edited this page Jan 13, 2020 · 1 revision

Bathe and Wilson eigenvalue problem

Download Example 6 model (v2.7.0)

Description

A ten bay, nine story, two dimensional frame structure solved in Bathe and Wilson (1972) is analyzed for the first three eigenvalues. The material and section properties, and the mass per unit length used for all members, as shown below, are consistent with those used in the above-mentioned reference.

The results obtained with the FE analysis program GiD+OpenSees are compared with Seismostruct results. The FE model is in the X-Y plane.

Geometry and Properties

Material Properties:

E = 20.6832410 GPa

Section Properties:

A = 0.279 m2

I = 0.008631 m4

Modeling and Loading

The frame objects are modeled through elastic frame elements with specified Mass/Length^3 = 514.81 ton/m3.

All the base nodes are fully restrained.

The FE model is presented below:

Analysis Type

Eigenvalue analysis

Results and Comparison

The most significant results are compared in the table below:

Output Parameter GiD+OpenSees SeismoStruct 2016
Period T1 [sec] (1st mode) 8.181248 8.183192
Period T2 [sec] (2nd mode) 2.667342 2.672618
Period T3 [sec] (3rd mode) 1.534690 1.541584

Fani Derveni, Vassilis K. Papanikolaou

Developed in the Lab of R/C and Masonry Structures, School of Civil Engineering, Aristotle University of Thessaloniki, Greece, by T. Kartalis-Kaounis, V.K. Protopapadakis and T. Papadopoulos, Dipl. Civil Engineers, under the coordination of V.K. Papanikolaou, Assistant Professor.

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