2019
DOI: 10.32604/cmc.2019.06660
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A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate

Abstract: In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed. This method takes advantage of computational graphs and backpropagation algorithms involved in deep learning. Besides, the proposed DCM is based on a feedforward deep neural network (DNN) and differs from most previous applications of deep learning for mechanical problems. First, batches of randomly distributed collocation points are initially generated inside the domain and along the boundaries. A loss function is buil… Show more

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Cited by 330 publications
(87 citation statements)
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“…Moreover, authors in [18], proved the importance of choosing a proper activation function for the hidden layers using a mathematical evaluation that helped the model to work on complex mappings required for vast and non-linear data. Hongwei Guo et al in [19] also utilized the advantages of backpropagation algorithms and mathematically induced one for thin plate bending problems. In our proposed work we have considered the factors mentioned in [18,19] for better performance.…”
Section: Related Workmentioning
confidence: 99%
“…Moreover, authors in [18], proved the importance of choosing a proper activation function for the hidden layers using a mathematical evaluation that helped the model to work on complex mappings required for vast and non-linear data. Hongwei Guo et al in [19] also utilized the advantages of backpropagation algorithms and mathematically induced one for thin plate bending problems. In our proposed work we have considered the factors mentioned in [18,19] for better performance.…”
Section: Related Workmentioning
confidence: 99%
“…Numerous computational methods have been introduced to solve differential equations, such as FEM [75], Ritz method [76], deep collocation method [77], etc. In this paper, we employed the differential quadrature method (DQM), which was proposed by Bellman et al [78,79] in the 1970s.…”
Section: Solution Proceduresmentioning
confidence: 99%
“…The proposed system provides an application of various M.L algorithms in a given text. Second, the different emotion signals are applied to different machine learning classifiers (Guo et al 2019, Anitescu et al 2019, which are simple and effective. This would help computational intelligence experts in developing improved methods for the sentiment classification of text-based emotions.…”
Section: Research Significancementioning
confidence: 99%