Axial force—Displacement behavior of steel double angles

A dynamic analysis of a hemispherical and cylindrical contact, material properties of which are graded elastically and plastically along the radius, is presented. The static force–displacement behavior of a hemisphere and a semi-cylinder in contact with a rigid flat is obtained using finite element software. The force–displacement is used in a further dynamic analysis for undamped-free as well as for forced-damped vibration of the contact interface. For the undamped free vibration, variation of natural frequency w.r.t. initial displacement is furnished for different values of elastic and plastic gradation parameter. In addition, variation of maximum initial displacement for contact loss is also demonstrated. The forced-damped vibration characteristics of the spherical and cylindrical contact interfaces are presented in the form of frequency response curves with jump up and jump down frequencies. Spherical and cylindrical contact interfaces are found to exhibit softening and hardening type nonlinearity, respectively.

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Force‐Displacement Behavior of Concrete Bridge

Journal of Structural Engineering ◽

10.1061/(asce)0733-9445(1983)109:11(2600) ◽

1983 ◽

Vol 109 (11) ◽

pp. 2600-2618

Author(s):

George E. Ramey

Keyword(s):

Concrete Bridge ◽

Displacement Behavior ◽

Force Displacement

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Modeling Triple Friction Pendulum Bearings for Response-History Analysis

Earthquake Spectra ◽

10.1193/1.2982531 ◽

2008 ◽

Vol 24 (4) ◽

pp. 1011-1028 ◽

Cited By ~ 84

Author(s):

Daniel M. Fenz ◽

Michael C. Constantinou

Keyword(s):

Experimental Data ◽

Equations Of Motion ◽

Analysis Software ◽

History Analysis ◽

Response History Analysis ◽

Displacement Behavior ◽

Direct Numerical Integration ◽

Friction Pendulum ◽

Force Displacement ◽

Comparison With Experimental Data

There are currently no applicable hysteresis rules or nonlinear elements available in structural analysis software that can be used to exactly model triple Friction Pendulum bearings for response-history analysis. Series models composed of existing nonlinear elements are proposed since they can be immediately implemented in currently available analysis software. However, the behavior of the triple Friction Pendulum bearing is not exactly that of a series arrangement of single concave Friction Pendulum bearings—though it is similar. This paper describes how to modify the input parameters of the series model in order to precisely retrace the true force-displacement behavior exhibited by this device. Recommendations are made for modeling in SAP2000 and are illustrated through analysis of a simple seismically isolated structure. The results are confirmed by (a) verifying the force-displacement behavior through comparison with experimental data and (b) verifying the analysis through comparison to the results obtained by direct numerical integration of the equations of motion.

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