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All Journal Jurnal Teknik Sipil CANTILEVER Jurnal Teknik Sipil
Binsar Hariandja
Civil Engineering Department, Bandung Institute Of Technology
Civil Engineering, Building, Construction & Architecture Engineering Environmental Science Transportation

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The Use of Mixed Eulerian-Lagrangian Displacement in Geometrically Nonlinear Analysis of Structural System Hariandja, Binsar
Jurnal Teknik Sipil Vol 24, No 2 (2017)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1124.35 KB) | DOI: 10.5614/jts.2017.24.2.1

Abstract

AbstractThe paper deals with the use of mixed Eulerian-Lagrangian displacement in geometrically nonlinear analysis of structural system, in which displacement and deformation are observed from a selected referential configuration, i.e., a configuration once occupied by the system along the loading process. The displacement measured from initial configuration into referential configuration is referred to as Eulerian displacement, and the displacement measured from referential configuration into current configuration is referred to as Lagrangian displacement. Geometrical nonlinearity of structure occurs when the displacement primarily consists of rigid body displacement, in which the choice in referential configuration is of great concern. The same deformation may be observed differently according to the choice in referential configuration. Analysis of continuum system is cast in finite element method and written in matrix formulation. The geometrical nonlinearity is approached by successive incremental steps in which the total loading is divided into several incremental loadings. The process is then linearized and incremental global stiffness matrix is used at every iteration step. The proposed mixed displacement is cast in a computer package program using Fortran language. The program is applied in several structural analysis, in which the conventional Lagrangian displacement may not be appropriate to model the analysis. AbstrakMakalah membahas penerapan perpindahan campuran Euler-Lagrange dalam analisis nonlinier geometri sistem struktur, dalam mana perpindahan dan deformasi diamati dari konfigurasi referensi yang dipilih, yaitu konfigurasi yang pernah dilalui oleh sistem selama proses pembebanan. Perpindahan yang diukur dari konfigurasi awal ke konfigurasi referensi dinamakan perpindahan Euler, dan perpindahan yang diukur dari konfigurasi referensi ke konfigurasi akhir dinamakan perpindahan Lagrange. Nonlinieritas geometri sistem struktur terjadi dalam kasus di mana perpindahan terutama mencakup perpindahan badan kaku, dalam mana pemilihan konfigurasi referensi menjadi suatu langkah penting. Deformasi yang sama dapat diamati berlainan seturut dengan pilihan konfigurasi referensi. Analisis sitem kontinu didekati dengan langkah inkremental berturutan dalam mana beban total dibagi atas beberapa beban inkremental. Proses kemudian dilinierisasi dan matriks kekakuan global inkremental digunakan pada setiap langkah iterasi. Perpindahan campuran yang diusulkan dituangkan dalam program paket komputer yang dituliskan dalam bahasa Fortran. Program diterapkan dalam analisis beberapa sistem struktur, dalam mana perpindahan Lagrange konvensional tidak cukup untuk memodelkan perpindahan dalam analisis.
ANALISIS DINAMIS SISTEM STRUKTUR DENGAN SKEMA MASSA KONSISTEN Hariandja, Binsar
CANTILEVER Vol 4, No 1 (2015): Cantilever
Publisher : Jurusan Teknik Sipil & Perencanaan Fakultas Teknik Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (214.501 KB)

Abstract

The paper deals with frequency analysis of irreguler framed structures. The analysis used finite element method cast in matrix formulation. Apart from frequency analysis of framed structures that assumed to be of frame with relative rigid floor system, and the mass of structure is lumped at each floor, the analysis adopted consistent mass formulation. To reduce structural degrees of freedom, static condensation and multi-point constraint algorithms where used. The natural frequency resulted out of proposed analysis was then compared to that obtained by assuming rigid floor. The difference was due to the different schemes used in the consideration of inertial mass forces.Key Words: dynamic analysis, finite element method, multi-point constraints, static condensation, natural frequency.
Algoritma Kekangan Multi Titik Dalam Analisis Struktur dengan Metode Matriks Hariandja, Binsar
Jurnal Teknik Sipil Vol 9 No 2 (2013): Jurnal Teknik Sipil
Publisher : Universitas Kristen Maranatha

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.245 KB) | DOI: 10.28932/jts.v9i2.1374

Abstract

Makalah ini menyajikan metode penerapan hubungan antara beberapa derajat kebebasan sistemstruktur atas persamaan keseimbangan sistem struktur. Metode ini, yang dinamakan algoritmakekangan multi titik, menerapkan persamaan kekangan langsung ke dalam persamaankeseimbangan struktur, tanpa merubah ukuran dari pada matriks kekakuan struktur. Metode dapatditerapkan kepada beberapa kasus, termasuk problem struktur dengan amblas, permodelan strukturtiga dimensi menjadi dua dimensi, dan problem struktur dengan perpindahan yang diketahui(prescribed displacement problem).
The Use of Mixed Eulerian-Lagrangian Displacement in Geometrically Nonlinear Analysis of Structural System Binsar Hariandja
Jurnal Teknik Sipil Vol 24 No 2 (2017)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/jts.2017.24.2.1

Abstract

AbstractThe paper deals with the use of mixed Eulerian-Lagrangian displacement in geometrically nonlinear analysis of structural system, in which displacement and deformation are observed from a selected referential configuration, i.e., a configuration once occupied by the system along the loading process. The displacement measured from initial configuration into referential configuration is referred to as Eulerian displacement, and the displacement measured from referential configuration into current configuration is referred to as Lagrangian displacement. Geometrical nonlinearity of structure occurs when the displacement primarily consists of rigid body displacement, in which the choice in referential configuration is of great concern. The same deformation may be observed differently according to the choice in referential configuration. Analysis of continuum system is cast in finite element method and written in matrix formulation. The geometrical nonlinearity is approached by successive incremental steps in which the total loading is divided into several incremental loadings. The process is then linearized and incremental global stiffness matrix is used at every iteration step. The proposed mixed displacement is cast in a computer package program using Fortran language. The program is applied in several structural analysis, in which the conventional Lagrangian displacement may not be appropriate to model the analysis. AbstrakMakalah membahas penerapan perpindahan campuran Euler-Lagrange dalam analisis nonlinier geometri sistem struktur, dalam mana perpindahan dan deformasi diamati dari konfigurasi referensi yang dipilih, yaitu konfigurasi yang pernah dilalui oleh sistem selama proses pembebanan. Perpindahan yang diukur dari konfigurasi awal ke konfigurasi referensi dinamakan perpindahan Euler, dan perpindahan yang diukur dari konfigurasi referensi ke konfigurasi akhir dinamakan perpindahan Lagrange. Nonlinieritas geometri sistem struktur terjadi dalam kasus di mana perpindahan terutama mencakup perpindahan badan kaku, dalam mana pemilihan konfigurasi referensi menjadi suatu langkah penting. Deformasi yang sama dapat diamati berlainan seturut dengan pilihan konfigurasi referensi. Analisis sitem kontinu didekati dengan langkah inkremental berturutan dalam mana beban total dibagi atas beberapa beban inkremental. Proses kemudian dilinierisasi dan matriks kekakuan global inkremental digunakan pada setiap langkah iterasi. Perpindahan campuran yang diusulkan dituangkan dalam program paket komputer yang dituliskan dalam bahasa Fortran. Program diterapkan dalam analisis beberapa sistem struktur, dalam mana perpindahan Lagrange konvensional tidak cukup untuk memodelkan perpindahan dalam analisis.
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