Articles
<![CDATA[Displacement and Stress Function-based Linear and Quadratic Triangular Elements for Saint-Venant Torsional Problems ]]>
<![CDATA[Joko Purnomo]]>;
<![CDATA[Wong Foek Tjong]]>;
<![CDATA[Wijaya W.C.]]>;
<![CDATA[Putra J.S.]]>
<![CDATA[ Civil Engineering Dimension Vol. 20 No. 2 (2018): SEPTEMBER 2018 ]]>
Publisher : <![CDATA[Institute of Research and Community Outreach - Petra Christian University ]]>
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DOI: 10.9744/ced.20.2.70-77
<![CDATA[Torsional problems commonly arise in frame structural members subjected to unsymmetrical loading. Saint-Venant proposed a semi inverse method to develop the exact theory of torsional bars of general cross sections. However, the solution to the problem using an analytical method for a complicated cross section is cumbersome. This paper presents the adoption of the Saint-Venant theory to develop a simple finite element program based on the displacement and stress function approaches using the standard linear and quadratic triangular elements. The displacement based approach is capable of evaluating torsional rigidity and shear stress distribution of homogeneous and nonhomogeneous; isotropic, orthotropic, and anisotropic materials; in singly and multiply-connected sections. On the other hand, applications of the stress function approach are limited to the case of singly-connected isotropic sections only, due to the complexity on the boundary conditions. The results show that both approaches converge to exact solutions with high degree of accuracy.]]>
<![CDATA[AN ENHANCEMENT OF KRIGING BASED FINITE ELEMENT FOR PLATE ANALYSIS BY USING MITC3+ ELEMENT ]]>
<![CDATA[Sebastian Sebastian]]>;
<![CDATA[Wong Foek Tjong]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol 8 No 2 (2021): Oktober 2021 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.8.2.31-50
<![CDATA[A development of Kriging-based finite elements method has been carried out by implementing the MITC3+ plate elements for modeling the plate structure. The MITC3+ element used is a development of the MITC3 element whose performance is considered quite good and can overcome problems that arise in the application of conventional Kriging-based finite elements, one of which is the shear-locking. The application of Kriging interpolation on MITC3+ elements is carried out with the Kriging shape function formulation in the formation of the bending stiffness matrix only. The elements are then tested with various benchmark problems such as Patch Test, hard clamped square plate, Rhombic Plate, and its ability to solve complex-shaped plates. The results showed that the MITC3+ was able to avoid the shear-locking mechanism and also produce an accurate solution. However, it appears there is an inconsistent convergence pattern on the Patch Test and Rhombic Plate.]]>
<![CDATA[OPTIMASI TOPOLOGI DAN UKURAN PENAMPANG STRUKTUR RANGKA BATANG BAJA DENGAN METODE METAHEURISTIK ]]>
<![CDATA[Ricky Agusta Hartono]]>;
<![CDATA[Doddy Prayogo]]>;
<![CDATA[Wong Foek Tjong]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol 6 No 1 (2019): April 2019 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.6.1.33-42
<![CDATA[Optimasi topologi dari struktur rangka batang baja memberikan hasil yang lebih optimal dibandingkan optimasi ukuran penampang karena batang dan nodes yang tidak berguna pada struktur dapat dihilangkan. Fungsi objektif dari algoritma metaheuristik adalah untuk meminimalkan massa struktur rangka batang baja terhadap constraints statis dan dinamis berdasarkan studi kasus dan spesifikasi bangunan baja struktural Indonesia, SNI 1729:2015. Empat algoritma yang digunakan pada studi ini adalah: Particle Swarm Optimization, Differential Evolution, Teaching-Learning-Based Optimization, dan Symbiotic Organisms Search. Keempat algoritma tersebut diuji pada studi kasus 24-bar truss. Performa dari algoritma diukur dari lima kriteria massa, yaitu: massa terbaik, terburuk, rata-rata, standar deviasi, dan median dari struktur rangka batang baja. Hasil penelitian menunjukkan SOS menunjukkan performa terbaik pada studi kasus 24-bar truss.]]>
<![CDATA[ANALISIS NON-LINEAR STRUKTUR TENSEGRITY MENGGUNAKAN TOTAL POTENTIAL ENERGY OPTIMIZATION WITH METAHEURISTIC METHODS (TPO/MA) ]]>
<![CDATA[Denalyn Tanist Istianto]]>;
<![CDATA[Wong Foek Tjong]]>;
<![CDATA[Doddy Prayogo]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol 9 No 2 (2022): Oktober 2022 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.9.2.97-115
<![CDATA[Total potential energy optimization with metaheuristic methods (TPO/MA) adalah metode analisis struktur yang berdasarkan pada prinsip energi minimum. Metode ini dapat melakukan analisis non-linear pada berbagai struktur tanpa modifikasi yang signifikan dalam prosesnya. Salah satu struktur yang bersifat sangat non-linear adalah struktur tensegrity. TPO/MA dengan tiga algoritma metaheuristik yaitu teaching–learning-based optimization (TLBO), harmony search (HS), dan symbiotic organisms search (SOS) diaplikasikan dalam analisis non-linear geometri pada struktur tensegrity dua dan tiga dimensi. Analisis struktur dilakukan dengan pemberian beban bertahap (incremental) untuk menghasilkan grafik load-displacement yang menunjukkan perilaku non-linear struktur. Hasil penelitian menunjukkan TPO/MA dapat melakukan analisis non-linear pada struktur tensegrity dengan akurasi dan konsistensi yang tinggi. TLBO dan SOS memiliki performa yang lebih baik dibandingkan HS dalam menyelesaikan analisis non-linear pada struktur tensegrity menggunakan TPO/MA.]]>
<![CDATA[STUDI ELEMEN-ELEMEN LINEAR, KUADRATIK, DAN KUBIK UNTUK ANALISIS STATIK, GETARAN BEBAS, DAN TEKUK BALOK TIMOSHENKO NON-PRISMATIK ]]>
<![CDATA[Timothy Adriel Setiabudi]]>;
<![CDATA[Wong Foek Tjong]]>
<![CDATA[ Jurnal Dimensi Pratama Teknik Sipil Vol 12, No 1 (2023): MARET 2023 ]]>
Publisher : <![CDATA[Jurnal Dimensi Pratama Teknik Sipil ]]>
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<![CDATA[Metode elemen hingga sudah banyak digunakan di masa sekarang. Akan tetapi, masalah shear locking adalah masalah yang hingga saat ini masih diteliti sehingga banyak metode pendekatan dalam menemukan solusinya. Pada penelitian ini digunakan teori balok Timoshenko dan metode eliminasi shear locking least square smoothed assumed strain concept. Penelitian ini menguji efektivitas penggunaan metode eliminasi shear locking pada balok non-prismatik dengan elemen linear, kuadratik, dan kubik. Terbukti bahwa metode LSSASC yang digunakan pada elemen-elemen linear, kuadratik, dan kubik dapat mengeliminasi peristiwa shear locking pada elemen linear, kuadratik, dan kubik balok Timoshenko non-prismatik untuk analisis statik, tekuk, dan getaran bebas.]]>
<![CDATA[OPTIMASI TOPOLOGI DAN UKURAN PENAMPANG STRUKTUR RANGKA BATANG BAJA DENGAN METODE METAHEURISTIK ]]>
<![CDATA[Ricky Agusta Hartono]]>;
<![CDATA[Doddy Prayogo]]>;
<![CDATA[Wong Foek Tjong]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol. 6 No. 1 (2019): April 2019 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.6.1.33-42
<![CDATA[Optimasi topologi dari struktur rangka batang baja memberikan hasil yang lebih optimal dibandingkan optimasi ukuran penampang karena batang dan nodes yang tidak berguna pada struktur dapat dihilangkan. Fungsi objektif dari algoritma metaheuristik adalah untuk meminimalkan massa struktur rangka batang baja terhadap constraints statis dan dinamis berdasarkan studi kasus dan spesifikasi bangunan baja struktural Indonesia, SNI 1729:2015. Empat algoritma yang digunakan pada studi ini adalah: Particle Swarm Optimization, Differential Evolution, Teaching-Learning-Based Optimization, dan Symbiotic Organisms Search. Keempat algoritma tersebut diuji pada studi kasus 24-bar truss. Performa dari algoritma diukur dari lima kriteria massa, yaitu: massa terbaik, terburuk, rata-rata, standar deviasi, dan median dari struktur rangka batang baja. Hasil penelitian menunjukkan SOS menunjukkan performa terbaik pada studi kasus 24-bar truss.]]>
<![CDATA[AN ENHANCEMENT OF KRIGING BASED FINITE ELEMENT FOR PLATE ANALYSIS BY USING MITC3+ ELEMENT ]]>
<![CDATA[Sebastian Sebastian]]>;
<![CDATA[Wong Foek Tjong]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol. 8 No. 2 (2021): Oktober 2021 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.8.2.31-50
<![CDATA[A development of Kriging-based finite elements method has been carried out by implementing the MITC3+ plate elements for modeling the plate structure. The MITC3+ element used is a development of the MITC3 element whose performance is considered quite good and can overcome problems that arise in the application of conventional Kriging-based finite elements, one of which is the shear-locking. The application of Kriging interpolation on MITC3+ elements is carried out with the Kriging shape function formulation in the formation of the bending stiffness matrix only. The elements are then tested with various benchmark problems such as Patch Test, hard clamped square plate, Rhombic Plate, and its ability to solve complex-shaped plates. The results showed that the MITC3+ was able to avoid the shear-locking mechanism and also produce an accurate solution. However, it appears there is an inconsistent convergence pattern on the Patch Test and Rhombic Plate.]]>
<![CDATA[ANALISIS NON-LINEAR STRUKTUR TENSEGRITY MENGGUNAKAN TOTAL POTENTIAL ENERGY OPTIMIZATION WITH METAHEURISTIC METHODS (TPO/MA) ]]>
<![CDATA[Denalyn Tanist Istianto]]>;
<![CDATA[Wong Foek Tjong]]>;
<![CDATA[Doddy Prayogo]]>
<![CDATA[ Dimensi Utama Teknik Sipil Vol. 9 No. 2 (2022): Oktober 2022 ]]>
Publisher : <![CDATA[Program Studi Magister Teknik Sipil - Petra Christian University ]]>
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DOI: 10.9744/duts.9.2.97-115
<![CDATA[Total potential energy optimization with metaheuristic methods (TPO/MA) adalah metode analisis struktur yang berdasarkan pada prinsip energi minimum. Metode ini dapat melakukan analisis non-linear pada berbagai struktur tanpa modifikasi yang signifikan dalam prosesnya. Salah satu struktur yang bersifat sangat non-linear adalah struktur tensegrity. TPO/MA dengan tiga algoritma metaheuristik yaitu teaching–learning-based optimization (TLBO), harmony search (HS), dan symbiotic organisms search (SOS) diaplikasikan dalam analisis non-linear geometri pada struktur tensegrity dua dan tiga dimensi. Analisis struktur dilakukan dengan pemberian beban bertahap (incremental) untuk menghasilkan grafik load-displacement yang menunjukkan perilaku non-linear struktur. Hasil penelitian menunjukkan TPO/MA dapat melakukan analisis non-linear pada struktur tensegrity dengan akurasi dan konsistensi yang tinggi. TLBO dan SOS memiliki performa yang lebih baik dibandingkan HS dalam menyelesaikan analisis non-linear pada struktur tensegrity menggunakan TPO/MA.]]>
<![CDATA[On the Derivation of Exact Solutions of a Tapered Cantilever Timoshenko Beam ]]>
<![CDATA[Foek Tjong Wong]]>;
<![CDATA[Junius Gunawan]]>;
<![CDATA[Kevin Agusta]]>;
<![CDATA[Herryanto Herryanto]]>;
<![CDATA[Levin Sergio Tanaya]]>
<![CDATA[ Civil Engineering Dimension Vol. 21 No. 2 (2019): SEPTEMBER 2019 ]]>
Publisher : <![CDATA[Institute of Research and Community Outreach - Petra Christian University ]]>
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DOI: 10.9744/ced.21.2.89-96
<![CDATA[A tapered beam is a beam that has a linearly varying cross section. This paper presents an analytical derivation of the solutions to bending of a symmetric tapered cantilever Timoshenko beam subjected to a bending moment and a concentrated force at the free end and a uniformly-distributed load along the beam. The governing differential equations of the Timoshenko beam of a variable cross section are firstly derived from the principle of minimum potential energy. The differential equations are then solved to obtain the exact deflections and rotations along the beam. Formulas for computing the beam deflections and rotations at the free end are presented. Examples of application are given for the cases of a relatively slender beam and a deep beam. The present solutions can be useful for practical applications as well as for evaluating the accuracy of a numerical method.]]>
<![CDATA[Locking-free Kriging-based Timoshenko Beam Elements using an Improved Implementation of the Discrete Shear Gap Technique ]]>
<![CDATA[Wong Foek Tjong]]>;
<![CDATA[Stevanus W. Santoso]]>;
<![CDATA[Mellyssa Sutrisno]]>
<![CDATA[ Civil Engineering Dimension Vol. 24 No. 1 (2022): MARCH 2022 ]]>
Publisher : <![CDATA[Institute of Research and Community Outreach - Petra Christian University ]]>
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DOI: 10.9744/ced.24.1.11-18
<![CDATA[Kriging-based finite element method (K-FEM) is an enhancement of the conventional finite element method using a Kriging interpolation as the trial solution in place of a polynomial function. In the application of the K-FEM to the Timoshenko beam model, the discrete shear gap (DSG) technique has been employed to overcome the shear locking difficulty. However, the applied DSG was only effective for the Kriging-based beam element with a cubic basis and three element-layer domain of influencing nodes. Therefore, this research examines a modified implementation of the DSG by changing the substitute DSG field from the Kriging-based interpolation to linear interpolation of the shear gaps at the element nodes. The results show that the improved elements of any polynomial degree are free from shear locking. Furthermore, the results of beam deflection, cross-section rotation, and bending moment are very accurate, while the shear force field is piecewise constant.]]>
