Nonlinear positional formulation for space truss analysis

Greco, Marcelo; Gesualdo, Francisco Antonio Romero; Venturini, W. S.; Coda, Humberto Breves

doi:10.1016/j.finel.2006.04.007

Cited by 71 publications

(36 citation statements)

References 14 publications

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“…The frame is composed by Lshaped steel beams. The Finite Element Method with positional formulation (Coda and Greco, 2004;Greco et al, 2006) is adopted to solve the geometrical non-linear problem. Moreover, the material is assumed elastic perfectly plastic.…”

Section: Example 3: Non-linear Steel Frame Towermentioning

confidence: 99%

A benchmark study on intelligent sampling techniques in Monte Carlo simulation

Santos

Beck

2015

Lat. Am. j. solids struct.

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In recent years, new, intelligent and efficient sampling techniques for Monte Carlo simulation have been developed. However, when such new techniques are introduced, they are compared to one or two existing techniques, and their performance is evaluated over two or three problems. A literature survey shows that benchmark studies, comparing the performance of several techniques over several problems, are rarely found. This article presents a benchmark study, comparing Simple or Crude Monte Carlo with four modern sampling techniques: Importance Sampling Monte Carlo, Asymptotic Sampling, Enhanced Sampling and Subset Simulation; which are studied over six problems. Moreover, these techniques are combined with three schemes for generating the underlying samples: Simple Sampling, Latin Hypercube Sampling and Antithetic Variates Sampling. Hence, a total of fifteen sampling strategy combinations are explored herein. Due to space constrains, results are presented for only three of the six problems studied; conclusions, however, cover all problems studied. Results show that Importance Sampling using design points is extremely efficient for evaluating small failure probabilities; however, finding the design point can be an issue for some problems. Subset Simulation presented very good performance for all problems studied herein. Although similar, Enhanced Sampling performed better than Asymptotic Sampling for the problems considered: this is explained by the fact that in Enhanced Sampling the same set of samples is used for all support points; hence a larger number of support points can be employed without increasing the computational cost. Finally, the performance of all the above techniques was improved when combined with Latin Hypercube Sampling, in comparison to Simple or Antithetic Variates sampling.

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Section: Example 3: Non-linear Steel Frame Towermentioning

confidence: 99%

A benchmark study on intelligent sampling techniques in Monte Carlo simulation

Santos

Beck

2015

Lat. Am. j. solids struct.

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“…This kind of structure is usually called truss (Greco et al (2006)). The finite element used to model trusses do not include bending stiffness bringing difficulties for modeling vibration control devices of the type mass / spring / damper in nonlinear analysis.…”

Section: Introductionmentioning

confidence: 99%

Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control

Madeira

Coda

2016

Lat. Am. j. solids struct.

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This study proposes a new pure numerical way to model mass / spring / damper devices to control the vibration of truss structures developing large displacements. It avoids the solution of local differential equations present in traditional convolution approaches to solve viscoelasticity. The structure is modeled by the geometrically exact Finite Element Method based on positions. The introduction of the device's mass is made by means of Lagrange multipliers that imposes its movement along the straight line of a finite element. A pure numerical Kelvin/Voigt like rheological model capable of nonlinear large deformations is originally proposed here. It is numerically solved along time to accomplish the damping parameters of the device. Examples are solved to validate the formulation and to show the practical possibilities of the proposed technique

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“…They concluded that the underlying advantage of two-point method is the rapid convergence, and therefore gaining the less cost of analysis. Greco et al [24] proposed a new geometric non-linear relation for spatial truss analysis that utilizes the nodal locations rather than nodal displacements. Papadrakakis [25] implemented the dynamic relaxation method for the second-order and large deflection analysis of truss elements.…”

Section: Introductionmentioning

confidence: 99%