Parametric Identification of Nonlinear Dynamic Systems Using Combined Levenberg–marquardt and Genetic Algorithm

Kumar, Rahul; Sandesh, S.; Shankar, K.

doi:10.1142/s0219455407002484

Cited by 16 publications

(3 citation statements)

References 19 publications

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“…Inverse Problems in Science and Engineering 999 GA has been hybridized with various calculus-based methods to obtain a good initial guess of parameters [21,22]. The Levenberg-Marquardt (LM) method is a powerful gradient-based iterative method for solving inverse problems.…”

Section: The Proposed Hybrid Methodsmentioning

confidence: 99%

Application of a hybrid of particle swarm and genetic algorithm for structural damage detection

Sandesh

Shankar

2010

Inverse Problems in Science and Engineering

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This study presents a novel optimization algorithm which is a hybrid of particle swarm optimization (PSO) method and genetic algorithm (GA). Using the Ackley and Schwefel multimodal benchmark functions incorporating up to 25 variables, the performance of the hybrid is compared with pure PSO and GA and found to be far superior in convergence and accuracy. The hybrid algorithm is then used to identify multiple crack damages in a thin plate using an inverse time-domain formulation. The damage is detected using an orthotropic finite element (FE) model based on the strain energy equivalence principle. The identification is carried out using time-domain acceleration responses. The principle is to minimize the difference between the measured and theoretically predicted accelerations. Since the computational effort of identifying the use of global FE model proved prohibitive, a quarter substructure was identified which contains 72 damage variables. Using numerically simulated experiments, three cracks in a plate were reliably detected using this method in the presence of noise. While the pure particle swarm algorithm proved to be fast, the hybrid algorithm proved to be more accurate in damage prediction. GA performed worst in speed and accuracy.

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Section: The Proposed Hybrid Methodsmentioning

confidence: 99%

Application of a hybrid of particle swarm and genetic algorithm for structural damage detection

Sandesh

Shankar

2010

Inverse Problems in Science and Engineering

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“…Genetic algorithms (GAs) [52,53] appeared to be a suitable option for coping with the aforementioned issues. The feasibility of applying GAs to parameter estimation has been demonstrated in a number of previous works in various engineering fields [54,55]. This approach offers a number of advantages, for example: (1) it does not pose any assumptions on the form of the objective function; (2) it provides great flexibility (e.g.…”

Section: Parameter Estimationmentioning

confidence: 99%

Dynamics of underwater legged locomotion: modeling and experiments on an octopus-inspired robot

et al. 2015

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This paper studies underwater legged locomotion (ULL) by means of a robotic octopus-inspired prototype and its associated model. Two different types of propulsive actions are embedded into the robot model: reaction forces due to leg contact with the ground and hydrodynamic forces such as the drag arising from the sculling motion of the legs. Dynamic parameters of the model are estimated by means of evolutionary techniques and subsequently the model is exploited to highlight some distinctive features of ULL. Specifically, the separation between the center of buoyancy (CoB)/center of mass and density affect the stability and speed of the robot, whereas the sculling movements contribute to propelling the robot even when its legs are detached from the ground. The relevance of these effects is demonstrated through robotic experiments and model simulations; moreover, by slightly changing the position of the CoB in the presence of the same feed-forward activation, a number of different behaviors (i.e. forward and backward locomotion at different speeds) are achieved.

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“…Lee and Hwang (2007) identified the joint structural parameters using frequency domain-based substructuring and classical quasi-newton optimization algorithm. Kishore Kumar et al (2007) worked on substructure parameter identification of an multi degree-offreedom (MDOF) system using combined-real-coded Genetic Algorithms (GA) with gradientbased Levenberg-Marquardt (LM) search tool. Tee et al (2009) conducted subSI studies numerically and experimentally using the concept of modal condensation to avoid the need of complete measurements.…”

Section: Introductionmentioning

confidence: 99%

Identification of multiple nonlinear lap joints using instantaneous power flow balance

Anish

Shankar

2023

MMMS

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PurposeThe purpose of this paper is to apply the novel instantaneous power flow balance (IPFB)-based identification strategy to a specific practical situation like nonlinear lap joints having single and double bolts. The paper also investigates the identification performance of the proposed power flow method over conventional acceleration-matching (AM) methods and other methods in the literature for nonlinear identification.Design/methodology/approachA parametric model of the joint assembly formulated using generic beam element is used for numerically simulating the experimental response under sinusoidal excitations. The proposed method uses the concept of substructure IPFB criteria, whereby the algebraic sum of power flow components within a substructure is equal to zero, for the formulation of an objective function. The joint parameter identification problem was treated as an inverse formulation by minimizing the objective function using the Particle Swarm Optimization (PSO) algorithm, with the unknown parameters as the optimization variables.FindingsThe errors associated with identified numerical results through the instantaneous power flow approach have been compared with the conventional AM method using the same model and are found to be more accurate. The outcome of the proposed method is also compared with other nonlinear time-domain structural identification (SI) methods from the literature to show the acceptability of the results.Originality/valueIn this paper, the concept of IPFB-based identification method was extended to a more specific practical application of nonlinear joints which is not reported in the literature. Identification studies were carried out for both single-bolted and double-bolted lap joints with noise-free and noise-contamination cases. In the current study, only the zone of interest (substructure) needs to be modelled, thus reducing computational complexity, and only interface sensors are required in this method. If the force application point is outside the substructure, there is no need to measure the forcing response also.

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Parametric Identification of Nonlinear Dynamic Systems Using Combined Levenberg–marquardt and Genetic Algorithm

Cited by 16 publications

References 19 publications

Application of a hybrid of particle swarm and genetic algorithm for structural damage detection

Application of a hybrid of particle swarm and genetic algorithm for structural damage detection

Dynamics of underwater legged locomotion: modeling and experiments on an octopus-inspired robot

Identification of multiple nonlinear lap joints using instantaneous power flow balance

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