Application of a Hill-Climbing technique to the formulation of a new cyclic nonlinear elastic constitutive model

Taborda, David M.G.; Zdravković, Lidija

doi:10.1016/j.compgeo.2012.02.001

Cited by 40 publications

(18 citation statements)

References 14 publications

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“…>10 -1 %) and in the very small strain range (<10 -3 %) respectively as defined by Vucetic (1994) [37]. This highlighted the importance 34 of independent optimum calibration for the material damping related to the shear and compressional response at the respective relevant strain levels.…”

mentioning

confidence: 95%

Numerical investigation of multi-directional site response based on KiK-net downhole array monitoring data

Han

Zdravković

Kontoe

et al. 2017

Computers and Geotechnics

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mentioning

confidence: 95%

Numerical investigation of multi-directional site response based on KiK-net downhole array monitoring data

Han

Zdravković

Kontoe

et al. 2017

Computers and Geotechnics

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“…This may be partially mitigated by increasing either the nonlinearity of the backbone curve (e.g. [12,13]) or by adopting a variable scaling factor, as demonstrated in Taborda and Zdravkovic [9].…”

Section: Constitutive Modelmentioning

confidence: 99%

“…This model is formulated in threedimensional stress-strain space and incorporates a wide range of features designed to allow both the accurate simulation of cyclic soil behaviour [9] and the analysis of static problems, often in conjunction with a plastic model [10,11]. According to the cyclic nonlinear elasticity framework, the soil response is defined by two components: a base stress-strain relationship (also called "backbone curve") and a set of rules establishing the unloading/reloading behaviour.…”

Section: Constitutive Modelmentioning

confidence: 99%

On the assessment of energy dissipated through hysteresis in finite element analysis

Taborda

Potts

Zdravković

2016

Computers and Geotechnics

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Abstract:The accurate reproduction of the hysteretic behaviour exhibited by soils under cyclic loading is a crucial aspect of dynamic finite element analyses and is typically described using the concept of damping ratio. In this paper, a general algorithm is presented for assessing the damping ratio simulated by any constitutive model based on the registered behaviour in three-dimensional stress-strain space. A cyclic nonlinear elastic model capable of accurately reproducing a wide range of features of soil behaviour, including the variation of damping ratio with deformation level, is chosen to illustrate the capabilities of the proposed algorithm. The constitutive model is described and subsequently employed in two sets of finite element analyses, one involving the dynamic response of a sand deposit subjected to different types of motion and another focussing on the simulation of a footing subjected to cyclic axial loading. The application of the presented algorithm provides insight into the processes through which energy is dissipated through hysteresis.

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“…which are used depending on the type of application. Although Hill Climbing suffers from a drawback of getting stuck at the local maxima/minima, it is used in applications such as wind power system [1], evacuation route planning [2], modelling of soil behavior [3], forward planning [4] and many other applications because it is simple and easy to implement. There are different variants of Hill Climbing algorithm and these variants have evolved based on the need to make the search effective in addressing a particular problem.…”

Section: Introductionmentioning

confidence: 99%

“…As already mentioned in [3], there are a few instances where the exact values of model parameters are not derived, instead they are found in the heuristically defined search space. By this method, the model is fine-tuned to simulate accurate behavior of the system.…”

mentioning

confidence: 99%

A Predictive Hill Climbing Algorithm for Real Valued multi-Variable Optimization Problem like PID Tuning

Nagarajan¹,

Cep²

2018

IJMLC

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Abstract-This paper proposes a novel method of applying Hill Climbing algorithm for optimizing a problem which has more than one dependent variable and a very large search space. Tuning of PID controller for complete Black-Box plant model is an example of one such problem, where the search algorithm is applied to find PID gains which satisfy the desired optimization criteria. The traditional Hill Climbing algorithm cannot be directly applied to tune PID since the PID controller has three parameters to be tuned and search space is a large collection of real numbers. Searching the entire 3D infinite space without knowing the step size is not easy for this search method. Hence, the traditional Hill Climbing algorithm is modified to adjust the step size and the direction of search dynamically to make the search faster. The algorithm maintains the direction of search as long as it is approaching the optimal point with increase in step size. When it fails in its prediction, the search is randomized in all directions with decrease in step size. This predictive search method reduces the search time and is effective for a very large search space. This paper explains how the algorithm is successful in tuning PID controller and the performance of the algorithm is analyzed.

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Application of a Hill-Climbing technique to the formulation of a new cyclic nonlinear elastic constitutive model

Cited by 40 publications

References 14 publications

Numerical investigation of multi-directional site response based on KiK-net downhole array monitoring data

Numerical investigation of multi-directional site response based on KiK-net downhole array monitoring data

On the assessment of energy dissipated through hysteresis in finite element analysis

A Predictive Hill Climbing Algorithm for Real Valued multi-Variable Optimization Problem like PID Tuning

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