scholarly journals SIMULASI PERBANDINGAN TITIK JEPIT TIANG MENGGUNAKAN VIRTUAL FIXED POINT DAN LATERAL SPRING DI DERMAGA “KNP”

2021 ◽  
Vol 4 (3) ◽  
pp. 789
Author(s):  
Andree Savio ◽  
Sunarjo Leman

The jetty is the most important facility in the port because it is connected between the sea and the land. The jetty structure consists of the upper structure (beams, plates and pile caps) and the lower structure (piles). The upper structure uses reinforced concrete as the base material and the lower structure can use steel or concrete material. In designing the piles on the jetty, the depth of the fixed point is not at the seabed depth, but below the seabed. It is necessary to conduct research on the depth of the pile fixed point at KNP jetty Southeast Sulawesi. Based on the OCDI 2002 (Overseas Coastal Area Development Institute of Japan) using the virtual fixed point method (1/β), the depth of the fixed point on the KNP jetty is 24 m, meanwhile according to the lateral spring method the KNP jetty has a fixed point depth of 25,6 m. and by adding a lateral spring to the pile in the virtual fixed point method, it can also make the model more efficient with a smaller deflection of 6,43% for deflection due to earthquake in the x direction and 7,25% for deflection due to earthquake in y direction. ABSTRAKDermaga merupakan fasilitas yang paling penting pada pelabuhan karena menghubungkan antara laut dan daratan. Struktur dermaga terdiri dari struktur atas (balok, pelat dan pile cap) dan struktur bawah (tiang pancang). Struktur atas menggunakan bahan dasar beton bertulang dan struktur bawah dapat menggunakan bahan baja atau beton. Dalam mendesain tiang pancang pada dermaga, kedalaman titik jepit tidak berada pada kedalaman seabed tetapi berada dibawah seabed. Perlu dilakukan penelitian tentang kedalaman titik jepit tiang pancang. Studi kasus yang dibahas pada penelitian ini adalah dermaga yang berlokasi di Kendari, Sulawesi Tenggara. Dermaga tersebut dikenal dengan nama dermaga “KNP”. Berdasarkan OCDI (Overseas Coastal Area Development Institute of Japan) tahun 2002 dengan menggunakan metode virtual fixed point (1/β) memiliki kedalaman titik jepit pada dermaga “KNP” sebesar 24 m, sedangkan menurut metode pegas lateral pada dermaga “KNP” memiliki kedalaman titik jepit sebesar 25,6 m dan dengan menambahkan pegas lateral pada tiang pancang dalam metode virtual fixed point juga dapat membuat model lebih efisien dengan defleksi yang lebih kecil sebesar 6,43% untuk defleksi akibat gempa arah x dan 7,25% untuk defleksi akibat gempa arah y.

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4933-4944
Author(s):  
Dongseung Kang ◽  
Heejeong Koh

We obtain a general solution of the sextic functional equation f (ax+by)+ f (ax-by)+ f (bx+ay)+ f (bx-ay) = (ab)2(a2 + b2)[f(x+y)+f(x-y)] + 2(a2-b2)(a4-b4)[f(x)+f(y)] and investigate the stability of sextic Lie *-derivations associated with the given functional equation via fixed point method. Also, we present a counterexample for a single case.


Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Nguyen Ngoc Phung ◽  
Bao Quoc Ta ◽  
Ho Vu

In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.


2012 ◽  
Vol 2012 (1) ◽  
pp. 137 ◽  
Author(s):  
HM Kenari ◽  
Reza Saadati ◽  
Choonkil Park

2021 ◽  
Vol 5 (4) ◽  
pp. 240
Author(s):  
A. Torres-Hernandez ◽  
F. Brambila-Paz

Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and compact method to work the fractional calculus through the classification of fractional operators using sets. This new method of working with fractional operators, which may be called fractional calculus of sets, allows generalizing objects of conventional calculus, such as tensor operators, the Taylor series of a vector-valued function, and the fixed-point method, in several variables, which allows generating the method known as the fractional fixed-point method. Furthermore, it is also shown that each fractional fixed-point method that generates a convergent sequence has the ability to generate an uncountable family of fractional fixed-point methods that generate convergent sequences. So, it is presented a method to estimate numerically in a region Ω the mean order of convergence of any fractional fixed-point method, and it is shown how to construct a hybrid fractional iterative method to determine the critical points of a scalar function. Finally, considering that the proposed method to classify fractional operators through sets allows generalizing the existing results of the fractional calculus, some examples are shown of how to define families of fractional operators that satisfy some property to ensure the validity of the results to be generalized.


2013 ◽  
Vol 6 (3) ◽  
pp. 318-324
Author(s):  
阎雪飞 YAN Xue-fei ◽  
许廷发 XU Ting-fa ◽  
白廷柱 BAI Ting-zhu

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