A method for the evaluation of the response probability density function of some linear dynamic systems subjected to non-Gaussian random load

被引：16

作者：

Settineri, D. ^{[1
]}

Falsone, G. ^{[1
]}

机构：

[1] Univ Messina, Dipartimento Ingn Civile Informat Edile Ambiental, I-98766 Messina, Italy

来源：

PROBABILISTIC ENGINEERING MECHANICS | 2014年 / 38卷

关键词：

Uncertain structures; Probability transformation; Characteristic function; STATISTICAL LINEARIZATION; EXPLICIT SOLUTIONS;

D O I：

10.1016/j.probengmech.2014.03.008

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper deals with the characterization of the random response of linear systems subjected to stochastic load. It proposes a new method based on the new version of the Probabilistic Transformation Method (PTM) that allows obtaining, with a very low computational effort, the probability density function of the response. An important aspect of the proposed approach is the ability to join directly the pdfs of the input load with those of the response. Based on the step-by-step integration method, explicit solutions will be proposed for the random response of systems loaded by seismic and windy sampled inputs. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：165 / 172

页数：8

共 7 条

[1] Explicit solutions for the response probability density function of linear systems subjected to random static loads
Falsone, G.
Settineri, D.
PROBABILISTIC ENGINEERING MECHANICS, 2013, 33 : 86 - 94
[2] Multi-time probability density functions of the dynamic non-Gaussian response of structures
Falsone, Giovanni
Laudani, Rossella
STRUCTURAL ENGINEERING AND MECHANICS, 2020, 76 (05) : 631 - 642
[3] An effective method for the evaluation of the pdf response of dynamic systems subjected to non-stationary loads
Settineri, D.
ENGINEERING STRUCTURES, 2015, 84 : 419 - 429
[4] Response of systems under non-Gaussian random excitations
Cai, G. Q.
Suzuki, Y.
NONLINEAR DYNAMICS, 2006, 45 (1-2) : 95 - 108
[5] Response of Systems Under Non-Gaussian Random Excitations
G. Q. Cai
Y. Suzuki
Nonlinear Dynamics, 2006, 45 : 95 - 108
[6] A probability transformation method (PTM) for the dynamic stochastic response of structures with non-Gaussian excitations
Falsone, Giovanni
Laudani, Rossella
ENGINEERING COMPUTATIONS, 2018, 35 (05) : 1978 - 1997
[7] Non-stationary response of non-linear systems subjected to combined periodic and non-stationary stochastic excitation via the statistical linearization method
Kong F.
Han R.-J.
Zhang Y.-J.
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, 2022, 35 (03): : 625 - 634

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