Nonlinear dynamic response of frame-type structures with hysteretic damping at the joints

Shi, G.; Atluri, Satya N.

doi:10.2514/3.10904

Cited by 19 publications

(9 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This approach will hold for any problem with a local nonlinearity as part of a predominately linear system. (Gaurav et al 2011;Shi and Atluri 1992;Fey et al 1996), which necessitate the development, analysis, and updating of nonlinear numerical models. Local nonlinearities can also be introduced deliberately by designers to improve the engineering performance of a system by being able to avoid excessively high responses or stress (Fey 1992).…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Model calibration of locally nonlinear dynamical systems

Chodora

Prabhu³

et al. 2019

View full text Add to dashboard Cite

Purpose This paper aims to present an approach for calibrating the numerical models of dynamical systems that have spatially localized nonlinear components. The approach implements the extended constitutive relation error (ECRE) method using multi-harmonic coefficients and is conceived to separate the errors in the representation of the global, linear and local, nonlinear components of the dynamical system through a two-step process. Design/methodology/approach The first step focuses on the system’s predominantly linear dynamic response under a low magnitude periodic excitation. In this step, the discrepancy between measured and predicted multi-harmonic coefficients is calculated in terms of residual energy. This residual energy is in turn used to spatially locate errors in the model, through which one can identify the erroneous model inputs which govern the linear behavior that need to be calibrated. The second step involves measuring the system’s nonlinear dynamic response under a high magnitude periodic excitation. In this step, the response measurements under both low and high magnitude excitation are used to iteratively calibrate the identified linear and nonlinear input parameters. Findings When model error is present in both linear and nonlinear components, the proposed iterative combined multi-harmonic balance method (MHB)-ECRE calibration approach has shown superiority to the conventional MHB-ECRE method, while providing more reliable calibration results of the nonlinear parameter with less dependency on a priori knowledge of the associated linear system. Originality/value This two-step process is advantageous as it reduces the confounding effects of the uncertain model parameters associated with the linear and locally nonlinear components of the system.

show abstract

Section: Resultsmentioning

confidence: 99%

“…If you believe that the public display of this file breaches copyright please contact openaccess@ed.ac.uk providing details, and we will remove access to the work immediately and investigate your claim. (Shi and Atluri 1992;Fey et al 1996;Wojtkiewicz and Johnson. 2011).…”

Section: Take Down Policymentioning

confidence: 99%

Model calibration of locally nonlinear dynamical systems

Chodora

Prabhu³

et al. 2019

View full text Add to dashboard Cite

show abstract

“…15 Newmark's method3 is used to derive the nonlinear governing equations because of its accuracy and stability. Using this method, the displacement and velocity vectors and damping effects within each time step At can be expressed as (22) where and p are parameters that can be determined to obtain integration accuracy and stability. 24 In this study, q = 1/2 and p = 1/4 are assumed.…”

Section: Numerical Proceduresmentioning

confidence: 99%

“…*2J1 Furthermore, consideration of special features such as the flexibility of the connections can be introduced into the algorithm without losing its basic simplicity. 22 The aim of this paper is to propose such a finite-element-based analytical procedure to evaluate the nonlinear time domain large deformation seismic response of realistic structures with PR connections.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Seismic Analysis of Space Structures with Partially Restrained Cnnections.

Gao

Haldar

1995

Computer aided Civil Eng

View full text Add to dashboard Cite

An efficient and robust finite‐element‐based method for estimating nonlinear responses of complex three‐dimensional structures with partially restrained connections under dynamic and seismic loading is presented. The method is developed using the assumed stress‐based finite‐element method in which the tangent stiffness can be expressed in explicit form and fewer elements are needed to model a structure. Geometric and material nonlinearities and the nonlinear behavior of partially restrained connections are considered. For the dynamic and seismic analyses, three major sources of damping are considered. They are viscous damping, hysteretic damping in the PR connections, and the hysteretic damping at the plastic hinges, if plastic hinges are developed in the structure. It is observed from the examples considered in this study that proper consideration of PR connections is essential in modeling the realistic dynamic and seismic behavior of structures. Numerical results show that the presence of partially restrained connections may not cause failure of a structure due to insufficient strength but may make serviceability constraints, e.g., the lateral deformation, more critical.

show abstract

“…At present, main reports such as the 3-D spherical joint model [1], the sleeve-type connector model considering the Coulomb friction and clearance effect [2,4], the bilinear hysteresis model [3,5], are contributive to the development of this field. The other work for the connectors, for instance, Flores et al [6] studied the nonlinear dynamical behavior of the translational joints with clearance, Shi and Atluri [7] used the Ramberg-Osgood function to describe the nonlinear elastic performance and Gaul and Lenz [8] used the Valanis model to analysis the slip and adhesion characteristic of the contact field, make also contribution to the design and application of the connectors and other clearance mechanisms.…”

Section: Introductionmentioning

confidence: 99%