Response of MDOF Systems to Multiple Support Seismic Excitation

DebChaudhury, Amitabha; Gazis, George D.

doi:10.1061/(asce)0733-9399(1988)114:4(583)

Cited by 11 publications

(11 citation statements)

References 7 publications

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“…The elements of [Q(t)] are determined with the help of the speciÿed evolutionary r.m.s. acceleration of free-ÿeld ground motion and the characteristics of the ÿlters as given by Soliman and Datta [19] and Debchaudhary et al [12,13].…”

Section: Seismic Excitationmentioning

confidence: 99%

“…The method of calculation of the piecewise linear elements (Figure 3) of the {Q(t)} matrix is given in detail by Debchaudhary et al [12,13] and Soliman and Datta [19]. …”

Section: Equation Of Motion; Free Vertical Vibration and Quasi-staticmentioning

confidence: 99%

“…By modelling the earthquake as a ÿltered Poisson process, Shinozuka et al [16,17] developed a procedure to obtain the time-dependent variance of the response. Debchaudhury et al [12,13] and Gasparini et al [14,15] developed a method for obtaining the response of multi-degree of freedom systems to non-stationary seismic excitation using the Markov approach. The advantage of the Markov approach for the non-stationary analysis of structures for seismic excitation is that it does not require the derivation of the evolutionary frequency response function H (w; t), which may be di cult to obtain in many complex structures such as suspension bridges.…”

Section: Introductionmentioning

confidence: 99%

“…The nonstationary responses were obtained in terms of time-dependent variance functions. There have been many studies on simpler structures to obtain their response to non-stationary seismic excitations [11][12][13][14][15][16][17]. Lin [11] treated the non-stationary excitation as a sequence of random pulses.…”

Section: Introductionmentioning

confidence: 99%

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Seismic response of a cable‐stayed bridge deck under multi‐component non‐stationary random ground motion

Allam

Datta

2003

Earthq Engng Struct Dyn

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SUMMARYA Markov method of analysis is presented for obtaining the seismic response of cable-stayed bridges to non-stationary random ground motion. A uniformly modulated non-stationary model of the random ground motion is assumed which is speciÿed by the evolutionary r.m.s. ground acceleration. Both vertical and horizontal components of the motion are considered to act simultaneously at the bridge supports. The analysis duly takes into account the angle of incidence of the earthquake, the spatial correlation of ground motion and the quasi-static excitation. A cable-stayed bridge is analysed under a set of parametric variations in order to study the non-stationary response of the bridge. The results of the numerical study indicate that (i) frequency domain spectral analysis with peak r.m.s. acceleration as input could provide more r.m.s. response than the peak r.m.s. response obtained by the non-stationary analysis; (ii) the longitudinal component of the ground motion signiÿcantly in uences the vertical vibration of the bridge; and (iii) the angle of incidence of the earthquake has considerable in uence on the deck response.

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Section: Seismic Excitationmentioning

confidence: 99%

“…The method of calculation of the piecewise linear elements (Figure 3) of the {Q(t)} matrix is given in detail by Debchaudhary et al [12,13] and Soliman and Datta [19]. …”

Section: Equation Of Motion; Free Vertical Vibration and Quasi-staticmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Seismic response of a cable‐stayed bridge deck under multi‐component non‐stationary random ground motion

Allam

Datta

2003

Earthq Engng Struct Dyn

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“…Markov approach was used by Gasparani and DebChoudhary [3] to obtain the evolutionary response of MDOF systems with and without multi-point excitation. DebChoudhary and Gazis [2] used the same approach for the determination of the root mean square (r.m.s.) response of MDOF system to multipoint, multi-component support excitation.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Methods for Response Analysis under Non‐Stationary Excitation

Jangid

Datta

1999

Shock and Vibration

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Response of structures to non-stationary ground motion can be obtained either by the evolutionary spectral analysis or by the Markov approach. In certain conditions, a quasi-stationary analysis can also be performed. The first two methods of analysis are difficult to apply for complex situations such as problems involving soil-structure interaction, non-classical damping and primary-secondary structure interaction. The quasi-stationary analysis, on the other hand, provides an easier solution procedure for such cases. Here-in, the effectiveness of the quasi-stationary analysis is examined with the help of the analysis of a single degree-of-freedom (SDOF) system under a set of parametric variations. For this purpose, responses of the SDOF system to uniformly modulated non-stationary random ground excitation are obtained by the three methods and they are compared. In addition, the relative computational efforts for different methods are also investigated.

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Investigation of the dynamic interaction between a high‐pressure pipeline and the moving liquid inside under seismic loading

Kisliakov¹

1990

Earthq Engng Struct Dyn

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SUMMARYThe response of an open high-pressure pipeline containing moving liquid to horizontal seismic loading is investigated. The problem of the interaction between the pipe and the liquid inside it is solved after thorough kinematic analysis, involving two-stage application of the Coriolis theorem. The basic axial loading on the pipeline is also taken into account. As a result, the equation of motion of an arbitrary one-span part of the pipeline under seismic loading is obtained. The harmonic balance is used to find the solution. As an illustration to the theory a numerical example is given with the data of a real water power station pressure pipeline under a past earthquake record.

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Response of MDOF Systems to Multiple Support Seismic Excitation

Cited by 11 publications

References 7 publications

Seismic response of a cable‐stayed bridge deck under multi‐component non‐stationary random ground motion

Seismic response of a cable‐stayed bridge deck under multi‐component non‐stationary random ground motion

Evaluation of the Methods for Response Analysis under Non‐Stationary Excitation

Investigation of the dynamic interaction between a high‐pressure pipeline and the moving liquid inside under seismic loading

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