Nonlinear analysis of high accuracy and reliability in traffic flow prediction

Dai, Liming; Wang, Lu-Yao

doi:10.1515/nleng-2020-0016

Cited by 4 publications

(1 citation statement)

References 14 publications

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“…Leveraging its inherent superiority, the P-T method demonstrates advantages over other numerical techniques, notably the R-K method, in terms of accuracy and reliability [24]. Existing literature reflects the utilization of the P-T method in solving relatively straightforward and predominantly one-dimensional problems [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Dai,

Foroutan

2024

Preprint

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This study delves into nonlinear vibratory responses of functionally graded (FG) tubes subjected to transverse loads, considering material properties that vary with temperature. A refined beam model established for the tubes satisfies the stress boundary conditions on inner and outer surfaces of the tubes. The nonlinear vibration equations for these functionally graded tubes are meticulously derived with employment of the Zhang–Fu high-order shear deformation beam model, the von Kármán equation, and Hamilton’s principle. The proposed approach is applied to address externally excited nonlinear FG tube systems, encompassing both the 2 degrees of freedom (DOF) single-mode systems and 6 DOF multi-mode systems. Utilizing Galerkin’s method, the resulting discretized nonlinear governing equations allow for the analyses of single and multi-mode tubular system behavior. In solving for the tubular system, an approach implementing the P-T method is managed to be implemented, which yields a continuous semi-analytical solution throughout the entire time domain considered. The approach also demonstrates the advances on the development of a genuinely new computational method with broad impact. In comparison to the widely used Runge-Kutta (R-K) method, the proposed approach demonstrates superior efficiency, accuracy, and reliability, especially for highly nonlinear and complex systems like the FG tubular systems.

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Section: Introductionmentioning

confidence: 99%

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Dai,

Foroutan

2024

Preprint

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Static and dynamic thermal post-buckling analysis of imperfect sigmoid FG cylindrical shells resting on a non-uniform elastic foundation

Foroutan

Dai²

2023

European Journal of Mechanics - A/Solids

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Investigation of optimized ELM using Invasive Weed-optimization and Cuckoo-Search optimization

Rathod¹,

Wankhade²

2022

Nonlinear Engineering

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In order to classify data and improve extreme learning machine (ELM), this study explains how a hybrid optimization-driven ELM technique was devised. Input data are pre-processed in order to compute missing values and convert data to numerical values using the exponential kernel transform. The Jaro–Winkler distance is used to identify the relevant features. The feed-forward neural network classifier is used to categorize the data, and it is trained using a hybrid optimization technique called the modified enhanced Invasive Weed, a meta heuristic algorithm, and Cuckoo Search, a non-linear optimization algorithm ELM. The enhanced Invasive Weed optimization (IWO) algorithm and the enhanced Cuckoo Search (CS) algorithm are combined to create the modified CSIWO. The experimental findings presented in this work demonstrate the viability and efficacy of the created ELM method based on CSIWO, with good experimental result as compared to other ELM techniques.

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Nonlinear analysis of high accuracy and reliability in traffic flow prediction

Cited by 4 publications

References 14 publications

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Static and dynamic thermal post-buckling analysis of imperfect sigmoid FG cylindrical shells resting on a non-uniform elastic foundation

Investigation of optimized ELM using Invasive Weed-optimization and Cuckoo-Search optimization

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