National Taiwan Ocean University Research Hubhttps://scholars.ntou.edu.twThe DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sat, 15 Jun 2024 04:35:20 GMT2024-06-15T04:35:20Z50151Ordinary state-based peridynamic shell model with arbitrary horizon domains for surface effect correctionhttp://scholars.ntou.edu.tw/handle/123456789/17820Title: Ordinary state-based peridynamic shell model with arbitrary horizon domains for surface effect correction
Authors: Dai, Ming-Jyun; Tanaka, Satoyuki; Guan, Pai-Chen; Oterkus, Selda; Oterkus, Erkan
Abstract: An ordinary state-based peridynamic (PD) shell model with arbitrary horizon domains is presented. In computations of the PD parameters, the model removes the complete horizon assumption when treating the PD surface effect. In this study, the membrane, bending, and transverse shear deformations in the PD framework are taken into account. To examine fracture mechanics behavior, crack opening displacements and strain energy densities, which correspond to physical values of the PD failure criteria, are investigated under single-and mixed-mode fracture conditions. Several numerical examples are considered to evaluate fracture behaviors for shell structures subjected to in-plane or out-of-plane loading. The PD surface effect near domain boundaries or crack surfaces is validly treated by using the presented method. In addition, a crack propagation analysis is performed to estimate the effectiveness of the presented method.
Fri, 01 Oct 2021 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/178202021-10-01T00:00:00Z結合翻轉教室與3D列印應用於材料力學、結構學等結構力學課程之實作教材開發http://scholars.ntou.edu.tw/handle/123456789/23397Title: 結合翻轉教室與3D列印應用於材料力學、結構學等結構力學課程之實作教材開發
Authors: 關百宸
Abstract: 工程領域與力學相關系所都必須修材料力學與結構學兩門課程，在國內許多工程師證照考試也將這兩門課程列為必考科目，過往在大學端在這兩門課程的教學多仰賴課堂上理論的闡述、數學的推導與例題的示範，需要長時間的課程、補強與自習訓練。因此，一般學生在修習這兩門課程時需要較強的學習興趣與自我要求。學生在學習過程中對困難議題需要的學習時間加長，需要比要視覺化或實體化的範例引導她門思考，而材料力學與結構學剛剛好是基礎課程中銜接普通物理與結構分析的橋樑，是新型引導式教學很好的切入點。一般對翻轉教室使用在工學院課程有許多疑慮，這次希望能夠以輔助而非取代的方式，在主要課程中引入教學影片的幫忙，希望拉長學生的學習時間，降低學習門檻，將課堂放在每個人的手機上。也希望他們在分析完之後，可以動手做，將理論融入實際結構製作中，利用3D列印製做出的教具，展現結構強度與使用性能。引發興趣與力學知識培養能夠相輔相成。本計畫預計產出材料力學14個單元與結構學15個單元的教學影片，配合課程，在本校的線上教學系統TronClass與YouTube開放。另外利用3D列印製作相關的教具(兩門課各4件)，開放學生使用。在學期中利用TronClass追蹤使用成效，並適當調整。
In many engineering and mechanics related academic programs, students are required to take “mechanics of material” and “structural analysis” courses. They are also the required test subjects in many engineering licensure examinations in Taiwan. The traditional way of teaching these two courses in university is to present the theories, derivation of the mathematical formulae and example problems by writing on blackboard, whiteboard or pre-typing on a PowerPoint presentation. Sometimes, in order to fully grasp the concepts, instructors would need to spend extra time on illustrating additional example problems while students would need to do a lot of self-practice questions. Therefore, for students who are lack of solid mathematical background and self-motivation, they may need extra tools, such as visualization tools, to help them understand the subjects. Among all engineering and mechanics related courses, “mechanics of material” and “structural analysis” are the introductory level courses, which can potentially serve as a good entry point of introducing novel teaching method. In general, flipped class may not be suitable for all engineering classes (due to limited class time and extensive curriculum coverage). Therefore, in our proposed education plan, in addition to using teaching videos as a tool to aid students in extending the classroom to their homes, we also propose to use 3D printing to generate teaching tools, including model sized structural elements (such as truss, beams) and miscellaneous testing specimens (members under tension, torsion, shear and bending) to visualize the structural and mechanical behaviors of various structural components. We expect that students can build their own structural models using our teaching tools. Then, they can conveniently compare the behavior of these models to the analysis results which are based on mechanics principles and structural theories. On the other hand, this proposed educational development project will produce 14 and 15 teaching videos for mechanics of material and structural analysis respectively. All videos will be publicly released on National Taiwan Ocean University’s online teaching website TronClass and YouTube. We will trace the usage of the videos as well as the performances of the students during the semester.
Wed, 01 Aug 2018 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/233972018-08-01T00:00:00ZUSING REPRODUCING KERNEL PARTICLE METHOD FOR SHALLOW WATER PROBLEMShttp://scholars.ntou.edu.tw/handle/123456789/3036Title: USING REPRODUCING KERNEL PARTICLE METHOD FOR SHALLOW WATER PROBLEMS
Authors: Sun, C. T.; Kwok, O. L. A.; Pai-Chen Guan; Shih, W. K.
Fri, 01 Jun 2018 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30362018-06-01T00:00:00ZThe weighted reconstruction of reproducing kernel particle method for one-dimensional shock wave problemshttp://scholars.ntou.edu.tw/handle/123456789/3035Title: The weighted reconstruction of reproducing kernel particle method for one-dimensional shock wave problems
Authors: Sun, C. T.; Pai-Chen Guan; Jiang, J. H.; Kwok, O. L. A.
Thu, 01 Feb 2018 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30352018-02-01T00:00:00ZSolving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Methodhttp://scholars.ntou.edu.tw/handle/123456789/1244Title: Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method
Authors: Judy P. Yang; Pai-Chen Guan; Chia-Ming Fan
Abstract: This work introduces the weighted collocation method with reproducing kernel approximation to solve the inverse Laplace equations. As the inverse problems in consideration are equipped with over-specified boundary conditions, the resulting equations yield an overdetermined system. Following our previous work, the weighted collocation method using a least-squares minimization has shown to solve the inverse Cauchy problems efficiently without using techniques such as iteration and regularization. In this work, we further consider solving the inverse problems of Laplace type and introduce the Shepard functions to deal with singularity. Numerical examples are provided to demonstrate the validity of the method.
Sat, 01 Jul 2017 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/12442017-07-01T00:00:00ZAPPLICATION OF A RESIDUAL-NORM-BASED ALGORITHM TO SOLVE ELLIPTIC BOUNDARY VALUE PROBLEMShttp://scholars.ntou.edu.tw/handle/123456789/2977Title: APPLICATION OF A RESIDUAL-NORM-BASED ALGORITHM TO SOLVE ELLIPTIC BOUNDARY VALUE PROBLEMS
Authors: Chang, C. M.; Hui-Ming Fang; Pai-Chen Guan; Yung-Wei Chen
Mon, 01 Aug 2016 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/29772016-08-01T00:00:00ZWeighted Reproducing Kernel Collocation Method and Error Analysis for Inverse Cauchy Problemshttp://scholars.ntou.edu.tw/handle/123456789/1243Title: Weighted Reproducing Kernel Collocation Method and Error Analysis for Inverse Cauchy Problems
Authors: Judy P. Yang; Pai-Chen Guan; Chia-Ming Fan
Abstract: In this work, the weighted reproducing kernel collocation method (weighted RKCM) is introduced to solve the inverse Cauchy problems governed by both homogeneous and inhomogeneous second-order linear partial differential equations. As the inverse Cauchy problem is known for the incomplete boundary conditions, how to numerically obtain an accurate solution to the problem is a challenging task. We first show that the weighted RKCM for solving the inverse Cauchy problems considered is formulated in the least-squares sense. Then, we provide the corresponding error analysis to show how the errors in the domain and on the boundary can be balanced with proper weights. The numerical examples demonstrate that the weighted discrete systems improve the accuracy of solutions and exhibit optimal convergence rates in comparison with those obtained by the traditional direct collocation method. It is shown that neither implementation of regularization nor implementation of iteration is needed to reach the desired accuracy. Further, the locality of reproducing kernel approximation gets rid of the ill-conditioned system.
Fri, 01 Apr 2016 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/12432016-04-01T00:00:00ZNumerical investigations of error in generalized finite difference method for second-order partial differential equationshttp://scholars.ntou.edu.tw/handle/123456789/18376Title: Numerical investigations of error in generalized finite difference method for second-order partial differential equations
Authors: Chia-Ming Fan; Yu-Kai Huang; Pai-Chen Guan; Po-Wei Li
Description: Taipei
Thu, 22 Oct 2015 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/183762015-10-22T00:00:00ZA level set enhanced natural kernel contact algorithm for impact and penetration modelinghttp://scholars.ntou.edu.tw/handle/123456789/3029Title: A level set enhanced natural kernel contact algorithm for impact and penetration modeling
Authors: Chi, S. W.; Lee, C. H.; Chen, J. S.; Pai-Chen Guan
Wed, 01 Apr 2015 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30292015-04-01T00:00:00ZSemi-Lagrangian reproducing kernel particle method for slope stability analysis and post-failure simulationhttp://scholars.ntou.edu.tw/handle/123456789/3034Title: Semi-Lagrangian reproducing kernel particle method for slope stability analysis and post-failure simulation
Authors: Kwok, O. L. A.; Pai-Chen Guan; Cheng, W. P.; Sun, C. T.
Thu, 01 Jan 2015 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30342015-01-01T00:00:00ZNumerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz methodhttp://scholars.ntou.edu.tw/handle/123456789/1198Title: Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method
Authors: Cheng-Yu Ku; Chung Lun Kuo; Chia-Ming Fan; Chein-Shan Liu; Pai-Chen Guan
Abstract: This paper proposes the numerical solution of three-dimensional Laplacian problems based on the multiple scale Trefftz method with the incorporation of the dynamical Jacobian-inverse free method. A numerical solution for three-dimensional Laplacian problems was approximated by superpositioning T-complete functions formulated from 18 independent functions satisfying the governing equation in the cylindrical coordinate system. To mitigate a severely ill-conditioned system of linear equations, this study adopted the newly developed multiple scale Trefftz method and the dynamical Jacobian-inverse free method. Numerical solutions were conducted for problems involving three-dimensional groundwater flow problems enclosed by a cuboid-type domain, a peanut-type domain, a sphere domain, and a cylindrical domain. The results revealed that the proposed method can obtain accurate numerical solutions for three-dimensional Laplacian problems, yielding a superior convergence in numerical stability to that of the conventional Trefftz method.
Thu, 01 Jan 2015 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/11982015-01-01T00:00:00ZThe Isoparametric Reproducing Kernel Particle Method for nonlinear deformation of plateshttp://scholars.ntou.edu.tw/handle/123456789/3032Title: The Isoparametric Reproducing Kernel Particle Method for nonlinear deformation of plates
Authors: Pai-Chen Guan; Sun, C. T.
Thu, 01 May 2014 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30322014-05-01T00:00:00ZA Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic Equationshttp://scholars.ntou.edu.tw/handle/123456789/1247Title: A Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic Equations
Authors: Wei-Chung Yeih; I-Yao Chan; Cheng-Yu Ku; Chia-Ming Fan; Pai-Chen Guan
Abstract: In this paper, a novel double iteration process for solving the nonlin-ear algebraic equations is developed. In this process, the outer iteration controls theevolution path of the unknown vector xin the selected direction uwhich is deter-mined from the inner iteration process. For the inner iteration, the direction of evo-lution uis determined by solving a linear algebraic equation: BTBu =BTFwhereBis the Jacobian matrix, Fis the residual vector and the superscript “T” denotesthe matrix transpose. For an ill-posed system, this linear algebraic equation is verydifﬁcult to solve since the resulting leading coefﬁcient matrix is ill-posed in nature.We adopted the modiﬁed Tikhonov’s regularization method (MTRM) developed byLiu (Liu, 2012) to solve the ill-posed linear algebraic equation. However, to exact-ly ﬁnd the solution of the evolution direction umay consume too many iterationsteps for the inner iteration process, which is deﬁnitely not economic. Therefore,the inner iteration process stops while the direction umakes the value of a0beingsmaller than the selected margin acor when the number of inner iteration stepsexceeds the maximum tolerance Imax. For the outer iteration process, it terminatesonce the root mean square error for the residual is less than the convergence crite-rion εor when the number of inner iteration steps exceeds the maximum toleranceImax. Six numerical examples are given and it is found that the proposed method isvery efﬁcient especially for the nonlinear ill-posed systems.
Thu, 01 May 2014 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/12472014-05-01T00:00:00ZSemi-Lagrangian reproducing kernel particle method for fragment-impact problemshttp://scholars.ntou.edu.tw/handle/123456789/3031Title: Semi-Lagrangian reproducing kernel particle method for fragment-impact problems
Authors: Pai-Chen Guan; Chi, S. W.; Chen, J. S.; Slawson, T. R.; Roth, M. J.
Thu, 01 Dec 2011 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30312011-12-01T00:00:00ZSemi-Lagrangian reproducing kernel formulation and application to modeling earth moving operationshttp://scholars.ntou.edu.tw/handle/123456789/3030Title: Semi-Lagrangian reproducing kernel formulation and application to modeling earth moving operations
Authors: Pai-Chen Guan; Chen, J. S.; Wu, Y.; Teng, H.; Gaidos, J.; Hofstetter, K.; Alsaleh, M.
Mon, 01 Jun 2009 00:00:00 GMThttp://scholars.ntou.edu.tw/handle/123456789/30302009-06-01T00:00:00Z