scholarly journals Membangkitkan Suatu Matriks Unimodular Dengan Python

2018 ◽  
Vol 5 (2) ◽  
pp. 1-9
Author(s):  
Samsul Arifin ◽  
Indra Bayu Muktyas
Keyword(s):  
Matrix Method ◽  
Coefficient Matrix ◽  
Inverse Matrix ◽  
Solution Vector ◽  
Unimodular Matrix ◽  
All Solutions ◽  
Cramer’S Rule

An SPL can be represented as a multiplication of the coefficient matrix and solution vector of the SPL. Determining the solution of an SPL can use the inverse matrix method and Cramer's rule, where both can use the concept of the determinant of a matrix. If the coefficient matrix is a unimodular matrix, then all solutions of an SPL are integers. In this paper we will present a method of generating a unimodular matrix using Python so that it can be utilized on an SPL. Keywords: SPL, Unimodular Matrix, Python

scholarly journals Free Vibration Characteristic of Multilevel Beam Based on Transfer Matrix Method of Linear Multibody Systems

2014 ◽  
Vol 6 ◽  
pp. 792478 ◽  
Author(s):  
Laith K. Abbas ◽  
Xiaoting Rui
Keyword(s):  
Free Vibration ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Coefficient Matrix ◽  
Complex Structures ◽  
Vibration Characteristic ◽  
Boundary State ◽  
Novel Algorithms

In this paper, an approach based on transfer matrix method of linear multibody systems (MS-TMM) is developed to analyze the free vibration of a multilevel beam, coupled by spring/dashpot systems attached to them in-span. The Euler-Bernoulli model is used for the transverse vibration of the beams, and the spring/dashpot system represents a simplified model of a viscoelastic material. MS-TMM reduces the dynamic problem to an overall transfer equation which only involves boundary state vectors. The state vectors at the boundaries are composed of displacements, rotation angles, bending moments, and shear forces, which are partly known and partly unknown, and end up with reduced overall transfer matrix. Nontrivial solution requires the coefficient matrix to be singular to yield the required natural frequencies. This paper implements two novel algorithms based on the methodology by reducing the zero search of the reduced overall transfer matrix's determinate to a minimization problem and demonstrates a simple and robust algorithm being much more efficient than direct enumeration. The proposal method is easy to formulate, systematic to apply, and simple to code and can be extended to complex structures with any boundary conditions. Numerical results are presented to show the validity of the proposal method against the published literature.

Site-Specific Stereograph of SiC(0001) Surface by Inverse Matrix Method

2011 ◽  
Vol 80 (1) ◽  
pp. 013601 ◽  
Author(s):  
Fumihiko Matsui ◽  
Noriyuki Nishikayama ◽  
Naoyuki Maejima ◽  
Hirosuke Matsui ◽  
Kentaro Goto ◽  
...  
Keyword(s):  
Matrix Method ◽  
Inverse Matrix ◽  
Site Specific
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