scholarly journals Truth and Myths about 2D Tensegrity Trusses

2019 ◽  
Vol 9 (1) ◽  
pp. 179 ◽  
Author(s):  
Paulina Obara ◽  
Joanna Kłosowska ◽  
Wojciech Gilewski
Keyword(s):  
Spectral Analysis ◽  
Singular Value Decomposition ◽  
Mathematical Models ◽  
Stiffness Matrix ◽  
Singular Value ◽  
Precise Definition ◽  
Engineering Structures ◽  
Tensegrity Systems ◽  
Definition Of ◽  
Value Decomposition

The concept of tensegrity is understood in many ways. This term is often improperly used for structures that have some, but not necessarily the key, tensegrity properties. The concept of tensegrity systems is misused in reference to both mathematical models and completed engineering structures. The aim of the study is to indicate which of the plane (2D) trusses presented in the literature are erroneously classified as tensegrities. Singular value decomposition of the compatibility matrix and spectral analysis of the stiffness matrix with the effect of self-equilibrated forces is used for the analysis. A new precise definition of tensegrity trusses is proposed and implemented.

scholarly journals Vision-Based Faint Vibration Extraction Using Singular Value Decomposition

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Xiujun Lei ◽  
Jie Guo ◽  
Chang’an Zhu
Keyword(s):  
Singular Value Decomposition ◽  
High Speed ◽  
Singular Value ◽  
Vibration Measurement ◽  
Displacement Sensor ◽  
Remote Measurement ◽  
Engineering Structures ◽  
High Speed Rail ◽  
Sound Barrier ◽  
Value Decomposition

Vibration measurement is important for understanding the behavior of engineering structures. Unlike conventional contact-type measurements, vision-based methodologies have attracted a great deal of attention because of the advantages of remote measurement, nonintrusive characteristic, and no mass introduction. It is a new type of displacement sensor which is convenient and reliable. This study introduces the singular value decomposition (SVD) methods for video image processing and presents a vibration-extracted algorithm. The algorithms can successfully realize noncontact displacement measurements without undesirable influence to the structure behavior. SVD-based algorithm decomposes a matrix combined with the former frames to obtain a set of orthonormal image bases while the projections of all video frames on the basis describe the vibration information. By means of simulation, the parameters selection of SVD-based algorithm is discussed in detail. To validate the algorithm performance in practice, sinusoidal motion tests are performed. Results indicate that the proposed technique can provide fairly accurate displacement measurement. Moreover, a sound barrier experiment showing how the high-speed rail trains affect the sound barrier nearby is carried out. It is for the first time to be realized at home and abroad due to the challenge of measuring environment.

scholarly journals Kernel Function Definition Completion for Time–Domain State–Space Representations of Radiation Forces: Application to the Hankel Singular Value Decomposition

2021 ◽  
Vol 9 (7) ◽  
pp. 768
Author(s):  
Romain Lecuyer-Le Bris ◽  
Marc Le Boulluec ◽  
Jean-Frédéric Charpentier ◽  
Mohamed Benbouzid
Keyword(s):  
Singular Value Decomposition ◽  
State Space ◽  
Kernel Function ◽  
State Space Model ◽  
Hankel Matrix ◽  
Singular Value ◽  
Radiation Forces ◽  
Function Definition ◽  
Definition Of ◽  
Value Decomposition

This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical definition of the kernel function and its new definition given in this paper. The first part shows the influence of a term commonly neglected and the resulting improvement by taking this term into account. The second part will focus on the feedthrough matrix to understand why some models have none and why some others, such as HSVD, have one. An exact definition of the kernel function will be given underlying its discontinuity and its causality. This study also shows the interest of extrapolating hydrodynamic coefficients before approaching radiation forces by a state–space model.

Sign in / Sign up

Export Citation Format

Share Document