Stochastic analysis of structures with passive seismic control

1995 ◽  
Vol 22 (5) ◽  
pp. 970-980 ◽  
Author(s):  
Mahesh D. Pandey
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Stochastic Analysis ◽  
Structural Damage ◽  
Passive Control ◽  
Building Design ◽  
Equivalent Linearization ◽  
Building Structures ◽  
Restoring Force ◽  
Control Devices

In modern building design, the installation of passive control devices such as friction cross-bracings and viscoelastic dampers is considered an attractive option for controlling structural damage due to an earthquake. These control devices, like safety valves, allow earthquake energy dissipation at purposely designed locations such that ductility demands on other structural members are greatly reduced. The paper presents a nonlinear stochastic analysis procedure for large building structures equipped with passive control devices using the method of equivalent linearization. A generalization of this method, based on the Monte Carlo simulation technique, is elaborated for linearizing a multidimensional hysteretic restoring force law in a manner compatible with existing finite element programs. To illustrate the procedure, response statistics of a nonlinear oscillator, a friction damped structure, and a 10-storey building subjected to random excitation are analyzed. The study highlights that friction connections are useful in controlling seismic response of building structures. Key words: stochastic dynamics, Markov process, equivalent linearization, earthquake, passive control, Monte Carlo simulation, hysteresis, filtered white noise, covariance, friction cross-bracing.

Equivalent Linearization for Hysteretic Systems Under Random Excitation

1980 ◽  
Vol 47 (1) ◽  
pp. 150-154 ◽  
Author(s):  
Y. K. Wen
Keyword(s):  
Differential Equation ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Closed Form ◽  
Present Method ◽  
Equation Of Motion ◽  
Random Excitation ◽  
Equivalent Linearization ◽  
Restoring Force ◽  
Hysteretic Systems

A method of equivalent linearization for smooth hysteretic systems under random excitation is proposed. The hysteretic restoring force is modeled by a nonlinear differential equation and the equation of motion is linearized directly in closed form without recourse to Krylov-Bogoliubov technique. Compared with previously proposed similar methods, the formulation of the present method is versatile and considerably simpler. The accuracy of this method is verified against Monte-Carlo simulation for all response levels. It has a great potential in the analysis of multidegree-of-freedom and degrading systems.

Stochastic Analysis of Structures in Fire by Monte Carlo Simulation

2013 ◽  
Vol 4 (1) ◽  
pp. 37-46 ◽  
Author(s):  
Kaihang Shi ◽  
Qianru Guo ◽  
Ann Jeffers
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Stochastic Analysis ◽  
In Fire

scholarly journals Vibration Control Devices for Building Structures and Installation Approach: A Review

2019 ◽  
Vol 29 (2) ◽  
pp. 74-100 ◽  
Author(s):  
Waseem Sarwar ◽  
Rehan Sarwar
Keyword(s):  
Energy Dissipation ◽  
Vibration Control ◽  
Passive Control ◽  
Search Algorithm ◽  
Structural Response ◽  
Building Structures ◽  
Analysis And Design ◽  
Control Devices ◽  
Energy Dissipation Devices ◽  
Energy Absorbing

Abstract Retrofit and structural design with vibration control devices have been proven repeatedly to be feasible seismic hazard mitigation approach. To control the structural response; supplemental energy dissipation devices have been most commonly used for energy absorption. The passive control system has been successfully incorporated in mid to high rise buildings as an appropriate energy absorbing system to suppress seismic and wind-induced excitation. The considerable theses that are highlighted include vibration control devices, the dynamic behavior of devices; energy dissipation mechanism, devices installation approach and building guidelines for structural analysis and design employing vibration control devices also, design concern that is specific to building with vibration control devices. The following four types of supplemental damping devices have been investigated in this review: metallic devices, friction devices, viscous fluid devices, and viscoelastic devices. Although numerous devices installation techniques available, more precisely, devices installation approaches have been reviewed in this paper, including Analysis and Redesign approach (Lavan A/R), standard placement approach, simplified sequential search algorithm, and Takewaki approach.

Stochastic analysis of the implementation of distributed generation utilizing Monte Carlo Simulation

2021 ◽  
Author(s):  
Viviane Luise Silva de Lima ◽  
Israel Panazollo ◽  
Gustavo Cordeiro dos Santos ◽  
Daniel Pinheiro Bernardon ◽  
Mauricio Sperandio ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Distributed Generation ◽  
Stochastic Analysis

Stochastische Untersuchung brandbeanspruchter Stahlbetonstützen/Stochastic analysis of reinforced concrete columns subjected to fire

Bauingenieur ◽  
2015 ◽  
Vol 90 (09) ◽  
pp. 456-462
Author(s):  
Guido Morgenthal ◽  
Marcus Achenbach
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Reinforced Concrete ◽  
Stochastic Analysis ◽  
Concrete Columns ◽  
Reinforced Concrete Columns ◽  
Eine Hohe

Es werden Monte-Carlo-Simulationen brandbeanspruchter Stahlbetonstützen mit dem allgemeinen Verfahren nach DIN EN 1992–1–2 durchgeführt. Dabei werden zwölf Pendelstützen mit konstanter Lastausmitte und einer allseitigen Beflammung durch die Einheits-Temperaturzeitkurve untersucht. Die bei der Simulation berücksichtigte Feuerwiderstandsdauer wird mit den in DIN EN 1992–1–2 enthaltenen tabellarischen Daten bestimmt. Die Beispiele werden so gewählt, dass sie im experimentell abgesicherten Bereich liegen.   Bei der Monte-Carlo-Simulation werden zwei Rechenläufe betrachtet. Beim ersten Lauf werden die Unsicherheiten der thermischen Analyse und des mechanischen Modells berücksichtigt, beim zweiten werden diese vernachlässigt. Für beide Läufe werden die Versagenswahrscheinlichkeiten bestimmt und ausgewertet. Dabei zeigt sich, dass die Vernachlässigung der Modellunsicherheiten zu unsicheren Ergebnissen führen kann.   Die in der Monte-Carlo-Simulation verwendete Grenzzustandsfunktion wird mit einer globalen Sensitivitätsanalyse unter Berücksichtigung der Unsicherheiten der thermischen Analyse und des Widerstandsmodells ausgewertet. Die berechneten Sobolindizes belegen, dass das allgemeine Verfahren eine hohe Sensitivität gegenüber den Unsicherheiten der Temperaturberechnung und dem Widerstandsmodell aufweist.

Stochastic Microscopic Stress Analysis of a Composite Material via Multiscale Analysis Considering Microscopic Uncertainty

2010 ◽  
Vol 452-453 ◽  
pp. 277-280
Author(s):  
Seiichiro Sakata ◽  
Fumihiro Ashida
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Composite Material ◽  
Stress Analysis ◽  
Stochastic Analysis ◽  
Multiscale Analysis ◽  
Homogenization Method ◽  
Numerical Results ◽  
Stochastic Homogenization ◽  
Random Variation

This paper discusses a stochastic microscopic stress analysis of a composite material for a microscopic random variation. The stochastic stress analysis is performed via a stochastic homogenization and multiscale analysis. The homogenization method is employed for the multiscale analysis and the Monte-Carlo simulation or perturbation-based method can be employed for the stochastic analysis. In this paper, outline of the analysis and some numerical results are provided.

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