Konvergensi Analisa Numerik Akibat Gaya Luar pada Rangka Beton Sederhana

Hendri Hermawan, Atik Wahyuni, Nuril Lutvi Azizah

Abstract


Abstrak— Analisa dinamik pada struktur merupakan tahapan lanjutan bagi profesional konstruksi
dalam memahami bagaimana suatu struktur akan berperilaku. Jurnal ini meneliti konvergensi
perhitungan numerik tiga metode yang sering digunakan, yaitu Newmark, Chung-Hulbert dan Central
Difference. Rangka beton 2 lantai akan menjadi acuan untuk melihat keandalan ketiga metode
numerik tersebut, ekstraksi matriks K dan matriks M akan diambil dari program bantu SAP2000 dan
iterasi numerik akan memakai python sebagai solver nya. Kecepatan konvergensi untuk kondisi tanpa
beban luar dicapai lebih cepat 1.5% dengan eksplisit central difference, sedangkan Newmark dan
Chung-Hulbert tetap mencapai konvergen meskipun dnegan pengaruh beban luar.
Abstract - Dynamic analysis of structures is an advanced stage for construction professionals in
understanding how a structure will behave. This journal examines the convergence of numerical
calculations of three frequently used methods, namely Newmark, Chung-Hulbert and Central
Difference. The 2-storey concrete frame will be a reference to see the reliability of the three numerical
methods, the extraction of matrix K and matrix M will be taken from the SAP2000 output and
numerical iteration will use python solver. The convergence rate for conditions without external load
was achieved 1.5% faster with explicit central difference, while Newmark and Chung-Hulbert still
achieved convergence despite the influence of external loads.


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DOI: http://dx.doi.org/10.31000/civil.v6i1.11132

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