Design-point excitation for non-linear random vibrations

Koo, Heonsang; Kiureghian, Armen Der; Fujimura, Kazuya

doi:10.1016/j.probengmech.2005.04.001

Cited by 90 publications

(30 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is based on a general formula given by Koo et al 22 Thus, the mean out-crossing rate is expressed analytically in terms of the design point and the reliability index. For linear processes, it reduces to the standard Rayleigh distribution.…”

Section: Design Point and Reliability Indexmentioning

confidence: 99%

Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM)

Jensen

2007

J Mar Sci Technol

View full text Add to dashboard Cite

Section: Design Point and Reliability Indexmentioning

confidence: 99%

Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM)

Jensen

2007

J Mar Sci Technol

View full text Add to dashboard Cite

“…Subsequent publications using this approach include Der Kiureghian and Li [20], Zhang and Der Kiureghian [21], Der Kiureghian [22], Franchin [23], Koo et al [24], Jensen and Capul [25], and Barbato and Conte [26]. In a recent paper [27], the authors formalized the use of FORM for solving nonlinear stochastic dynamic problems into a new ELM.…”

Section: Brief Review Of Existing Methodsmentioning

confidence: 99%

“…As shown by Koo et al [24], this probability is easily computed by FORM by translating the known design point excitation at time t n to obtain the design point excitation at time t n + t. Finally, the tail probability of the maximum absolute response over duration is obtained by reformulating the problem as a series-system reliability problem:…”

Section: Non-stationary Responsementioning

confidence: 99%

Nonlinear stochastic dynamic analysis for performance‐based earthquake engineering

Kiureghian

Fujimura

2009

Earthq Engng Struct Dyn

Self Cite

View full text Add to dashboard Cite

SUMMARYA new approach for computing seismic fragility curves for nonlinear structures for use in performancebased earthquake engineering analysis is proposed. The approach makes use of a recently developed method for nonlinear stochastic dynamic analysis by tail-equivalent linearization. The ground motion is modeled as a discretized stochastic process with a set of parameters that characterizes its evolutionary intensity and frequency content. For each selected response (seismic demand) threshold, a linear system is defined that has the same tail probability as the nonlinear response in first-order approximation. Simple linear random vibration analysis with the tail-equivalent linear system then yields the fragility curve. The approach has the advantage of avoiding the selection and scaling of recorded accelerograms and repeated time-history analyses, which is the current practice for developing fragility curves.

show abstract

“…erefore, the limit-state function of the system can be obtained by (21), and the FORM can be used to analyze the acceleration response reliability of the package. e reliability index is obtained by (13), the vector a(t) is obtained by (10), h(t) is obtained by (8), the vector s(t) can be obtained by (26), and the acceleration response rst passage probability of the package is obtained by (4). In this example, the rst passage failure probability of the package is calculated and shown in Figure 5.…”

Section: Examplementioning

confidence: 99%

“…In the structural reliability field, first-and second-order reliability methods (FORM and SORM) [11,12] have been proven to be effective methods, for their simplicity and efficiency. e mirror image excitation method presented by Koo et al [13] provided an approximate method for the nonlinear system failure probability estimation, and the solution of this method does not require the finding of the design point and response gradient; however, this method is restricted to the displacement first passage of single-degreeof-freedom problems. In the tail equivalent linearization method (TELM) [14,15], the nonlinear system was equivalently replaced by a linear system at the design point; this method can be adopted in many nonlinear cases with great accuracy, especially for high response threshold cases.…”

Section: Introductionmentioning

confidence: 99%

Acceleration Response First Passage Failure Probability Analysis Method for Nonlinear Package

Zhu

2018

Shock and Vibration

View full text Add to dashboard Cite

e acceleration response first passage failure problem of the nonlinear package base excited by Gaussian white noise is analyzed. e model correction factor method (MCFM) is implemented in conjunction with the first-order reliability method (FORM) to analyze the first passage failure probability of the nonlinear package. e white noise is discretized in standard normal space, and an iterative algorithm is proposed to find the design point of the packaging system. On the design point, the hypersurface representing the limit-state function of the nonlinear package is replaced approximately by a hyperplane representing the limitstate function of an equivalent linear system, and the FORM is employed to calculate the failure probability of the packaging system. e accuracy of this method is verified by crude Monte Carlo simulations. Numerical simulations are carried out to observe the effects of system parameters variations on failure probability which can be used for the improvement of packaging design.

show abstract

Design-point excitation for non-linear random vibrations

Cited by 90 publications

References 15 publications

Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM)

Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM)

Nonlinear stochastic dynamic analysis for performance‐based earthquake engineering

Acceleration Response First Passage Failure Probability Analysis Method for Nonlinear Package

Contact Info

Product

Resources

About