Wong Foek Tjong
Department Of Civil Engineering, Petra Christian University, Jl. Siwalankerto 121-131, Surabaya 60236, INDONESIA

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Displacement and Stress Function-based Linear and Quadratic Triangular Elements for Saint-Venant Torsional Problems Joko Purnomo; Wong Foek Tjong; Wijaya W.C.; Putra J.S.
Civil Engineering Dimension Vol. 20 No. 2 (2018): SEPTEMBER 2018
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (656.198 KB) | DOI: 10.9744/ced.20.2.70-77

Abstract

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.
AN ENHANCEMENT OF KRIGING BASED FINITE ELEMENT FOR PLATE ANALYSIS BY USING MITC3+ ELEMENT Sebastian Sebastian; Wong Foek Tjong
Dimensi Utama Teknik Sipil Vol 8 No 2 (2021): Oktober 2021
Publisher : Program Studi Magister Teknik Sipil - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (895.599 KB) | DOI: 10.9744/duts.8.2.31-50

Abstract

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.
OPTIMASI TOPOLOGI DAN UKURAN PENAMPANG STRUKTUR RANGKA BATANG BAJA DENGAN METODE METAHEURISTIK Ricky Agusta Hartono; Doddy Prayogo; Wong Foek Tjong
Dimensi Utama Teknik Sipil Vol 6 No 1 (2019): April 2019
Publisher : Program Studi Magister Teknik Sipil - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1254.012 KB) | DOI: 10.9744/duts.6.1.33-42

Abstract

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.
ANALISIS NON-LINEAR STRUKTUR TENSEGRITY MENGGUNAKAN TOTAL POTENTIAL ENERGY OPTIMIZATION WITH METAHEURISTIC METHODS (TPO/MA) Denalyn Tanist Istianto; Wong Foek Tjong; Doddy Prayogo
Dimensi Utama Teknik Sipil Vol 9 No 2 (2022): Oktober 2022
Publisher : Program Studi Magister Teknik Sipil - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/duts.9.2.97-115

Abstract

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.
STUDI ELEMEN-ELEMEN LINEAR, KUADRATIK, DAN KUBIK UNTUK ANALISIS STATIK, GETARAN BEBAS, DAN TEKUK BALOK TIMOSHENKO NON-PRISMATIK Timothy Adriel Setiabudi; Wong Foek Tjong
Jurnal Dimensi Pratama Teknik Sipil Vol 12, No 1 (2023): MARET 2023
Publisher : Jurnal Dimensi Pratama Teknik Sipil

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

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.
On the Derivation of Exact Solutions of a Tapered Cantilever Timoshenko Beam Foek Tjong Wong; Junius Gunawan; Kevin Agusta; Herryanto Herryanto; Levin Sergio Tanaya
Civil Engineering Dimension Vol. 21 No. 2 (2019): SEPTEMBER 2019
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (619.458 KB) | DOI: 10.9744/ced.21.2.89-96

Abstract

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.
Co-Authors , Liliana , Liliana Abraham Abraham Adam Sulistio Adam Sulistio Alexander Richard Alexander Richard, Alexander Ali, Stefano Kusuma Allan Surya Andreas Setiawan Andrians Juniawan Andrians Juniawan Bobby Hartanto Wijaya Bryan Linggo Satria Charles Julius Salim Charles Julius Salim, Charles Julius Christian Kentaro Danny Wijaya Danny Wijaya Denalyn Tanist Istianto Doddy - Prayogo Doddy Prayogo Doddy Prayogo Doddy Prayogo Doddy Prayogo Doddy Prayogo Erwin Erwin Erwin Erwin Erwin Tirta Winata Erwin Tirta Winata, Erwin Tirta Ferdiana Soekresno Ferdiana Soekresno Freddy Gunawan Giannina Allan Tjiptarahardja Gretel - Gaby Gunawan, Ricky Handoko Sugiharto Handy Prayogo Herryanto Herryanto Hieronimus Enrico Suryo Jan Joseph Johan Siandy Putra Joko Purnomo Junius Gunawan Kelvin Eko Prasetyo Kenneth - Harsono Kevin Agusta Kevin Tjoanda Kevin Tjoanda Kevin Winata, Kevin Koeshardiono Wibowo Kristofer Widjaja Kurniawan Susanto L. David A.T. Levin Sergio Tanaya Levin Sergio Tanaya Liliana , Liliana , Mellyssa Sutrisno Michael Andrian Michael Andrian Nelvin Tanoyo Pamuda Pudjisuryadi Pamuda Pudjisuryadi Pamuda Pudjisuryadi Pamuda Pudjisuryadi Prayogo, Doddy Prayogo, Doddy Putra J.S. Reinard Eka Putra Ricky Agusta Hartono Ricky Agusta Hartono Ricky Gunawan Robby Sumendap Sebastian - - Sebastian Sebastian Seli Noviodore Ballo Stefani Virgin Stefani Virgin Stefano Kusuma Ali Stevanus Wongso Santoso Steven Sugianto Steven Sugianto Steven Sugianto Sugianto, Steven Takim Andriono Theodore A. Ludong Timothy Adriel Setiabudi Tjiptarahardja, Giannina Allan Tonny Christanto Gosaria Welly Pontjoharyo Welly Pontjoharyo Wijaya W.C. William - Hauwing Wirmansyah Chandra Wijaya Yosua Christabel Yosua Christabel