Analysis of nonlinear Timoshenko–Ehrenfest beam problems with von Kármán nonlinearity using the Theory of Functional Connections
Author
Abstract
Suggested Citation
DOI: 10.1016/j.matcom.2022.10.015
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Enrico Schiassi & Mario De Florio & Andrea D’Ambrosio & Daniele Mortari & Roberto Furfaro, 2021. "Physics-Informed Neural Networks and Functional Interpolation for Data-Driven Parameters Discovery of Epidemiological Compartmental Models," Mathematics, MDPI, vol. 9(17), pages 1-17, August.
- Daniele Mortari, 2017. "The Theory of Connections: Connecting Points," Mathematics, MDPI, vol. 5(4), pages 1-15, November.
- Andrea D’Ambrosio & Enrico Schiassi & Fabio Curti & Roberto Furfaro, 2021. "Pontryagin Neural Networks with Functional Interpolation for Optimal Intercept Problems," Mathematics, MDPI, vol. 9(9), pages 1-23, April.
- Daniele Mortari, 2022. "Theory of Functional Connections Subject to Shear-Type and Mixed Derivatives," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
- Daniele Mortari, 2017. "Least-Squares Solution of Linear Differential Equations," Mathematics, MDPI, vol. 5(4), pages 1-18, October.
- Nguyen, Vinh Phu & Anitescu, Cosmin & Bordas, Stéphane P.A. & Rabczuk, Timon, 2015. "Isogeometric analysis: An overview and computer implementation aspects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 117(C), pages 89-116.
- Hunter Johnston & Carl Leake & Daniele Mortari, 2020. "Least-Squares Solutions of Eighth-Order Boundary Value Problems Using the Theory of Functional Connections," Mathematics, MDPI, vol. 8(3), pages 1-17, March.
- Carl Leake & Hunter Johnston & Daniele Mortari, 2020. "The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations," Mathematics, MDPI, vol. 8(8), pages 1-30, August.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Stojanović, Vladimir & Deng, Jian & Milić, Dunja & Petković, Marko D., 2024. "Vibrational analysis of a coupled damaged Timoshenko beam-arch mechanical system with von Kármán nonlinearities and layer discontinuity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 334-356.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Daniele Mortari & Carl Leake, 2019. "The Multivariate Theory of Connections," Mathematics, MDPI, vol. 7(3), pages 1-22, March.
- Kristofer Drozd & Roberto Furfaro & Enrico Schiassi & Andrea D’Ambrosio, 2023. "Physics-Informed Neural Networks and Functional Interpolation for Solving the Matrix Differential Riccati Equation," Mathematics, MDPI, vol. 11(17), pages 1-24, August.
- Daniele Mortari, 2022. "Theory of Functional Connections Subject to Shear-Type and Mixed Derivatives," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
- Kristofer Drozd & Roberto Furfaro & Andrea D’Ambrosio, 2024. "A Theory of Functional Connections-Based hp -Adaptive Mesh Refinement Algorithm for Solving Hypersensitive Two-Point Boundary-Value Problems," Mathematics, MDPI, vol. 12(9), pages 1-35, April.
- Xiaoying Zhuang & Binh Huy Nguyen & Subbiah Srivilliputtur Nanthakumar & Thai Quoc Tran & Naif Alajlan & Timon Rabczuk, 2020. "Computational Modeling of Flexoelectricity—A Review," Energies, MDPI, vol. 13(6), pages 1-29, March.
- Theodosiou, T.C., 2021. "Derivative-orthogonal non-uniform B-Spline wavelets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 368-388.
- Yanming Xu & Haozhi Li & Leilei Chen & Juan Zhao & Xin Zhang, 2022. "Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials," Mathematics, MDPI, vol. 10(11), pages 1-17, May.
- Tan N. Nguyen & L. Minh Dang & Jaehong Lee & Pho Van Nguyen, 2022. "Load-Carrying Capacity of Ultra-Thin Shells with and without CNTs Reinforcement," Mathematics, MDPI, vol. 10(9), pages 1-25, April.
- Yi Qiu & Cheng Xu & Jiangpeng Peng & Yanjie Song, 2024. "Isogeometric Topology Optimization of Multi-Material Structures under Thermal-Mechanical Loadings Using Neural Networks," Mathematics, MDPI, vol. 12(15), pages 1-21, July.
- Khadija Yakoubi & Ahmed Elkhalfi & Hassane Moustabchir & Abdeslam El Akkad & Maria Luminita Scutaru & Sorin Vlase, 2023. "An Isogeometric Over-Deterministic Method (IG-ODM) to Determine Elastic Stress Intensity Factor (SIF) and T-Stress," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
- Enrico Schiassi & Mario De Florio & Andrea D’Ambrosio & Daniele Mortari & Roberto Furfaro, 2021. "Physics-Informed Neural Networks and Functional Interpolation for Data-Driven Parameters Discovery of Epidemiological Compartmental Models," Mathematics, MDPI, vol. 9(17), pages 1-17, August.
- Daniele Mortari & Roberto Garrappa & Luigi Nicolò, 2023. "Theory of Functional Connections Extended to Fractional Operators," Mathematics, MDPI, vol. 11(7), pages 1-18, April.
- Jingwen Ren & Hongwei Lin, 2023. "A Survey on Isogeometric Collocation Methods with Applications," Mathematics, MDPI, vol. 11(2), pages 1-21, January.
- Bo He & Brahmanandam Javvaji & Xiaoying Zhuang, 2019. "Characterizing Flexoelectricity in Composite Material Using the Element-Free Galerkin Method," Energies, MDPI, vol. 12(2), pages 1-18, January.
- Soufiane Montassir & Hassane Moustabchir & Ahmed Elkhalfi & Maria Luminita Scutaru & Sorin Vlase, 2021. "Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)," Mathematics, MDPI, vol. 9(23), pages 1-22, November.
More about this item
Keywords
Nonlinear Theory of Functional Connections; Nonlinear Finite Element Method; Nonlinear Timoshenko–Ehrenfest beam;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:205:y:2023:i:c:p:709-744. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.