RMS Response of Cascaded MDOF Subsystem to Multiple Support Excitation

DebChaudhury, Amitabha

doi:10.1061/(asce)0733-9399(1988)114:10(1628)

Cited by 3 publications

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stochastic responses of structures require extensive computations effort especially when the vibration frequencies of structures are very close to each other or the external excitations are complicated. DebChaudhury and Gasparini (1982,1988) present a unique strategy for the calculation of random response of MDOF based on the superposition of multimodes by incorporating the excitation filter equations (wind load or earthquake motion) into the governing equations of structures, and the variable state form of equations and ordinary differential equations are obtained and related strategies such as Runge-Kutta method are available [13,14]. Peng and Conte (1998) present a closed-form solution for the evolutionary correlation and PSD matrices characterizing the nonstationary response of linear elastic, both classically and nonclassically damped MDOF systems subjected to a fully nonstationary earthquake ground motion process [15].…”

Section: Introductionmentioning

confidence: 99%

Seismic Response of Long‐Span Triple‐Tower Suspension Bridge under Random Ground Motion

Jiao

Dong

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Multitower suspension bridge is of different style compared to the traditional suspension bridge with two towers, and consequently the dissimilarity of static and dynamic behaviors is distinct. As a special case of multitower suspension bridge, two long-span triple-tower suspension bridges have been constructed in China and the seismic random response of triple-tower suspension bridges is studied in this paper. A nonlinear dynamic analysis finite element model is established in ABAQUS and the Python language is utilized to facilitate the preprocess and postprocess during the finite element analysis. The procedure for random response calculation of structures based on the pseudoexcitation method is presented, with the initial equilibrium state of structure considered, which may be ignored for long-span bridges during calculating of stochastic response. The stationary seismic random responses of triple-tower suspension bridge under uniform excitation in firm, medium, and soft soil conditions and under spatially varying excitation in soft soil are investigated. The distribution of RMS of random responses of displacements and internal forces of the stiffening girder and towers is presented and discussed in detail. Results show that spatially variable ground motions should be considered in the stochastic analysis of triple-tower suspension bridge.

show abstract

Section: Introductionmentioning

confidence: 99%

Seismic Response of Long‐Span Triple‐Tower Suspension Bridge under Random Ground Motion

Jiao

Dong

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

Combined dynamic response of primary and multiply connected cascaded secondary subsystems

Falsone

Muscolino

Ricciardi

1991

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

SUMMARYA method is proposed for the deterministic and stochastic non-stationary analysis of linear composite systems with cascaded secondary subsystems subjected to a seismic input. This method makes it possible to evaluate, by means of a unitary formulation, the deterministic and non-stationary stochastic response of both classically and non-classically damped subsystems and of secondary subsystems multiply supported on the primary one, as well as the ground. The proposed procedure is very efficient from a computational point of view, because of the Kronecker algebra systematically employed. Indeed, by using this algebra, it is possible to obtain in a very compact and elegant form the eigenproperties of the composite system as a function of the eigenproperties of the two subsystems taken separately. Moreover, it is possible to write the first order differential equations governing the evolution of the second order moments of the response and to solve them in a simple way.

show abstract

Dynamic Analysis of Structural Systems using Component Mode Synthesis

Muscolino¹

Computational Science, Engineering &Amp; Technology Series

View full text Add to dashboard Cite

RMS Response of Cascaded MDOF Subsystem to Multiple Support Excitation

Cited by 3 publications

References 5 publications

Seismic Response of Long‐Span Triple‐Tower Suspension Bridge under Random Ground Motion

Seismic Response of Long‐Span Triple‐Tower Suspension Bridge under Random Ground Motion

Combined dynamic response of primary and multiply connected cascaded secondary subsystems

Dynamic Analysis of Structural Systems using Component Mode Synthesis

Contact Info

Product

Resources

About