Certification of Algorithm 50: Inverse of a finite segment of the Hilbert matrix

1962 ◽  
Vol 5 (1) ◽  
pp. 50
Author(s):  
B. Randell
Keyword(s):  
Finite Segment ◽  
Hilbert Matrix

Analysis of Reinforced Concrete Beams by Finite Segment Technique

2013 ◽  
Vol 17 (1) ◽  
pp. 88-99
Author(s):  
Hassan Ghatass ◽  
Ibrahim El-Araby ◽  
Moataz Rizk
Keyword(s):  
Reinforced Concrete ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Finite Segment

Cable dynamics—a finite segment approach

1976 ◽  
Vol 6 (6) ◽  
pp. 475-480 ◽  
Author(s):  
J.M. Winget ◽  
R.L. Huston
Keyword(s):  
Finite Segment ◽  
Cable Dynamics

A note on Spitzer's lemma and its application to the maximum of partial sums of dependent random variables

1976 ◽  
Vol 13 (2) ◽  
pp. 361-364 ◽  
Author(s):  
M. E. Solari ◽  
J. E. A. Dunnage
Keyword(s):  
Infinite Sequence ◽  
Random Variables ◽  
Finite Sequence ◽  
Partial Sums ◽  
Dependent Random Variables ◽  
Finite Segment ◽  
Exchangeable Random Variables ◽  
Partial Sum

We give an expression for the expectation of max (0, S1, …, Sn) where Sk is the kth partial sum of a finite sequence of exchangeable random variables X1, …, Xn. When the Xk are also independent, the formula we give has already been obtained by Spitzer; and when the sequence is a finite segment of an infinite sequence of exchangeable random variables, it is a consequence of a theorem of Hewitt.

Numerical Advances in Gross-Motion Simulations of Head/Neck Dynamics

1987 ◽  
Vol 109 (2) ◽  
pp. 163-168 ◽  
Author(s):  
C. S. Tien ◽  
R. L. Huston
Keyword(s):  
Experimental Data ◽  
Efficient Method ◽  
Whole Body ◽  
Motion Simulation ◽  
Finite Segment ◽  
Body Model ◽  
High Acceleration ◽  
Head Neck

An efficient method for gross-motion simulation of head/neck dynamics in accidents and high acceleration environments is presented. The method uses finite-segment modelling to develop a 3-body model of the head/neck system. The model is shown to compare favorably with an analogous 9-body model and with experimental data. The model is expected to be useful for: (1) efficient analysis of gross-motion head/neck dynamics during accidents; (2) for developing increased intuitive understanding of head/neck behavior; and (3) for use with gross-motion, whole-body, crash-victim simulators.

Finite Segment Analysis of Folded Plates

1969 ◽  
Vol 95 (5) ◽  
pp. 831-852
Author(s):  
Kam S. Lo ◽  
Alexander C. Scordelis
Keyword(s):  
Finite Segment

Shear lag including axial balance of box beams by finite segment model

2021 ◽  
pp. 107043
Author(s):  
Xiaoyang He ◽  
Yiqiang Xiang ◽  
Xin Qiu ◽  
Zhengyang Chen
Keyword(s):  
Shear Lag ◽  
Finite Segment ◽  
Segment Model ◽  
Box Beams

Riccati Discrete Time Transfer Matrix Method for Dynamic Modeling and Simulation of an Underwater Towed System

2012 ◽  
Vol 79 (4) ◽  
Author(s):  
Guoping Wang ◽  
Bao Rong ◽  
Ling Tao ◽  
Xiaoting Rui
Keyword(s):  
Modeling And Simulation ◽  
Dynamic Modeling ◽  
Computational Efficiency ◽  
Finite Segment ◽  
Modeling And Control ◽  
Global Dynamic ◽  
Transfer Equations ◽  
High Matrix ◽  
Towed Cable ◽  
And Control

Efficient, precise dynamic modeling and control of complex underwater towed systems has become a research focus in the field of multibody dynamics. In this paper, based on finite segment model of cable, by defining the new state vectors and deducing the new transfer equations of underwater towed systems, a new highly efficient method for dynamic modeling and simulation of underwater towed systems is presented and the pay-out/reel-in process of towed cable is studied. The computational efficiency and numerical stability of the proposed method are discussed. When using the method to study the dynamics of underwater towed systems, it avoids the global dynamic equations of system, and simplifies solving procedure. Irrespective of the degree of freedom of underwater towed system, the matrices involved in the proposed method are always very small, which greatly improve the computational efficiency and avoids the computing difficulties caused by too high matrix orders for complex underwater towed systems. Formulations of the method as well as numerical simulations are given to validate the proposed method.

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