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All Journal Jurnal Dimensi Pratama Teknik Sipil Jurnal Teknik Sipil Civil Engineering Dimension Dimensi Utama Teknik Sipil
Wong Foek Tjong
Department Of Civil Engineering, Petra Christian University, Jl. Siwalankerto 121-131, Surabaya 60236, INDONESIA
Civil Engineering, Building, Construction & Architecture

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Free-Vibration and Buckling Analyses of Beams using Kriging-Based Timoshenko Beam Elements with the Discrete Shear Gap Technique Foek Tjong Wong; Nelvin Tanoyo; Tonny C. Gosaria
Civil Engineering Dimension Vol. 26 No. 1 (2024): MARCH 2024
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/ced.26.1.21-31

Abstract

A family of locking-free Kriging-based Timoshenko beam elements with a new implementation of the discrete shear gap technique was recently developed (referred to as K-beam-DSG1 elements). Performance of the K-beam-DSG1 elements has been shown to be very satisfactory in the linear static analysis of beams for a wide variety of thicknesses. This paper presents further development of the K-beam-DSG1 elements to free vibration and bifurcation buckling analyses of prismatic and non-prismatic beams. Consistent Kriging-based mass matrices are used for free vibration analysis and similarly, consistent Kriging-based geometric stiffness matrices are used for buckling analysis. The results show that for most of the cases, the K-beam-DGS1 elements yield remarkably accurate natural frequencies and critical compressive loads using a reasonable number of elements to discretize the beam. For an axially functionally graded fixed-fixed supported beam, however, the elements fail to predict the critical load accurately.
Least-squares Smoothed Shape Functions for Constructing Field-Consistent Timoshenko Beam Elements Foek Tjong Wong; Henokh G. Tjahyono; Sugiyono Hartono; Timothy A. Setiabudi
Civil Engineering Dimension Vol. 27 No. 1 (2025): MARCH 2025
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/ced.27.1.22-32

Abstract

This paper presents an approach for constructing field-consistent Timoshenko beam elements using least-squares smoothed (LSS) shape functions. The variational basis for shear strain redistribution is thoroughly explained, leading to the derivation of LSS shape functions for linear, quadratic, and cubic Timoshenko beam elements. These elements are then applied to linear static analysis, bifurcation buckling analysis, and free vibration analysis of prismatic and tapered beams. Numerical tests demonstrate that the LSS-based beam elements effectively eliminate shear locking and provide accurate, reliable results. Their performance is comparable to the discrete shear gap technique but with a simpler implementation procedure. The LSS shape function approach offers a practical and efficient alternative for achieving field consistency in Timoshenko beam elements, with potential applications in enhanced finite element methods (FEMs) such as isogeometric FEM and Kriging-based FEM.
PENGEMBANGAN ELEMEN BALOK LENGKUNG DENGAN PEDEKATAN DEGENERATED SOLID Sanjaya Halim; Foek Tjong Wong
Dimensi Utama Teknik Sipil Vol. 11 No. 2 (2024): Oktober 2024
Publisher : Program Studi Magister Teknik Sipil - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/duts.11.2.77-93

Abstract

Salah satu teori untuk menganalisis balok lengkung dalam metode elemen hingga adalah degenerated solid beam. Fenomena yang umum terjadi pada elemen balok lengkung yaitu shear locking dan membrane locking. Koziey dan Mirza (1994) membuat perumusan baru untuk analisis belok lengkung berdasarkan third order shear deformation theory (TOSD). Pada perumusan degenerated solid beam element umumnya menerapkan first order shear deformation theory (FOSD) yang membutuhkan koefisien koreksi geser. Pada penelitian ini akan dikembangkan degenerated solid beam element dengan modifikasi metode least square smoothed assumed strain (LSSAS) untuk eleminasi locking. Selain itu, akan diteliti perbedaan elemen yang menggunakan FOSD dengan menggunakan TOSD. Hasil pengujian diperoleh bahwa metode LSSAS tidak efektif dalam membebaskan degenerated solid beam element dari locking dan consistent beam merupakan elemen yang belum stabil. Penggunaan perumusan TOSD memiliki performa yang sama dengan penggunaan perumusan FOSD.
A Study of the Partition of Unity-based T3-CNS and T3-DNS Finite Elements in Surface Fitting Istiono, Heri; Tjong, Wong Foek
Civil Engineering Dimension Vol. 28 No. 1 (2026): MARCH 2026
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/ced.28.1.11-22

Abstract

Various alternative, enhanced finite element methods (FEMs) have been proposed to improve the accuracy and convergence of traditional FEM. One promising approach is the hybrid FEM-meshfree method using the partition of unity concept. This study examines the performance of two variants of the hybrid-meshfree method: the three-node triangular element with continuous nodal stress (T3-CNS) and the three-node triangular element with discontinuous nodal stress (T3-DNS). These methods are evaluated in the context of surface fitting through numerical tests. Their accuracy and convergence are compared with the standard triangular element and Kriging-based FEM. The results show that both T3-CNS and T3-DNS methods maintain consistency and yield accurate surface approximations with good convergence. However, their performance declines in problems involving gradient singularities. This study enhances the understanding of T3-CNS and T3-DNS interpolations, providing insights into their application in a Galerkin method for solving engineering model problems.
FREE VIBRATION ANALYSIS OF PLANE STRESS/STRAIN MODELS USING KRIGING-BASED FINITE ELEMENT METHOD Christiana, Christiana; Tjong, Wong Foek
Dimensi Utama Teknik Sipil Vol. 12 No. 2 (2025): Oktober 2025
Publisher : Program Studi Magister Teknik Sipil - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/duts.12.2.122-142

Abstract

Kriging-based finite element method (K-FEM) is an enhancement of standard FEM that employs Kriging interpolation over nodal points both within and outside the element domain. This method significantly increase the accuracy of conventional FEM. This paper presents the development and applications of the K-FEM to free vibration analysis of plane bodies with negligible damping. Six benchmark problems are examined: a cantilever beam, a simply supported beam, an arch, a shear wall, a slope, and a tapered cantilever plate with a hole. The computed natural frequencies and mode shapes demonstrate close agreement with reference solutions. Convergence toward the reference values is achieved as the mesh is refined and the degree of the polynomial basis increases, while additional DOI layers exert only a minor influence. These findings confirm that K‑FEM is a viable alternative to the conventional FEM for free vibration analysis of plane stress and plane strain models.
Co-Authors 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 CHRISTIANA CHRISTIANA, CHRISTIANA 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 Henokh G. Tjahyono Herryanto Herryanto Hieronimus Enrico Suryo Istiono, Heri 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 Mellyssa Sutrisno Michael Andrian Michael Andrian Nelvin Tanoyo 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 Sanjaya Halim Sebastian - - Sebastian Sebastian Seli Noviodore Ballo Stefani Virgin Stefani Virgin Stefano Kusuma Ali Stevanus W. Santoso Stevanus Wongso Santoso Steven Sugianto Steven Sugianto Steven Sugianto Sugianto, Steven Sugiyono Hartono Takim Andriono Theodore A. Ludong Timothy A. Setiabudi Timothy Adriel Setiabudi Tjiptarahardja, Giannina Allan Tonny C. Gosaria Tonny Christanto Gosaria Welly Pontjoharyo Welly Pontjoharyo Wijaya W.C. William - Hauwing Wirmansyah Chandra Wijaya Yosua Christabel Yosua Christabel