scholarly journals Parametric analysis of some tensegrity structures

2019 ◽  
Vol 262 ◽  
pp. 10003 ◽  
Author(s):  
Wojciech Gilewski ◽  
Joanna Kłosowska ◽  
Paulina Obara
Keyword(s):  
Parametric Analysis ◽  
Dynamic Properties ◽  
Order Theory ◽  
Singular Value ◽  
Third Order ◽  
Tensegrity Structures ◽  
The Third ◽  
Stress States ◽  
Parametric Analyses ◽  
Value Decomposition

The objective of the paper are tensegrity structures and a possibility to control their properties such as a stiffness and a natural frequency, by the level of self-stress. Basic tensegrity modules and towers and plates built of these modules are considered. In each example mechanisms and self-stress states are identified using the singular value decomposition of compatibility matrix method. Parametric analyses of the effect of the self-stress state on the static and dynamic properties of structures are carried out. Analyses are performed using the second order theory (in Mathematica environment) and the third order theory (in Sofistik program).

scholarly journals The Coupling Coefficients of Radial Pulsation in Third Order

1993 ◽  
Vol 134 ◽  
pp. 349-349
Author(s):  
T. Ishida ◽  
R. Takano ◽  
F. Yamakawa ◽  
M. Takeuti
Keyword(s):  
Order Theory ◽  
Radial Pulsation ◽  
Coupling Coefficients ◽  
Third Order ◽  
The Third ◽  
Stellar Models

AbstractThe third order theory of coupling is discussed regarding the radial pulsation of stellar models.

The Investigation of Temperature Effect on Dynamic Characteristics of Rubber Isolator

2011 ◽  
Vol 138-139 ◽  
pp. 575-580
Author(s):  
De Bao Han
Keyword(s):  
Interpolation Method ◽  
Dynamic Properties ◽  
Low Frequency ◽  
Model Parameters ◽  
Force Model ◽  
Third Order ◽  
Restoring Force ◽  
First Order ◽  
The Third ◽  
Rubber Isolator

This article focuses on the temperature dependent dynamic properties of rubber isolator. First, a set of experimental device was designed to conduct the experimental investigation. Then, a polynomial model of hysteretic used as an isolator restoring force model was proposed and the model parameters were identified using the displacement-restoring force loop from experiment by the optimal least-squares arithmetic. Finally, the Hermite interpolation method was utilized to add the number of identified parameters, such that curvatures that represent the first order stiffness, the third order stiffness and damping varied with frequency, amplitude under different temperature were obtained. The analysis results indicated that the first order stiffness varies weakly with the temperature increasing, and there is an area of the first order stiffness varied drastically. The third order stiffness have a strong nonlinear area within the low frequency and little amplitude, the third order stiffness magnitude increases with the temperature increasing firstly, then decreases while the temperature over 50°C. There is a sensitive area as the amplitude less than 1.5mm, the damping decreases rapidly with the augmenting of vibration amplitude, and the rate of decreasing is less gradually with the temperature rising.

Wave Kinematics and Pressure Field of Third-Order Theory for Bichromatic Bi-Directional Waves in Water of Finite Depth

2014 ◽  
Vol 580-583 ◽  
pp. 2166-2169
Author(s):  
Hu Huang ◽  
Guo Liang Li
Keyword(s):  
Pressure Field ◽  
State Of The Art ◽  
Finite Depth ◽  
Order Theory ◽  
Offshore Structures ◽  
Structural Members ◽  
Third Order ◽  
Wave Kinematics ◽  
The Third ◽  
Directional Waves

Based on the third-order theory for bichromatic bi-directional waves in water of finite depth, a set of explicit formulas for the state-of-the art quantities of wave kinematics for horizontal and vertical particle displacements, velocities and accelerations, and wave pressure field is developed, and would be much more accurate and realistic in the design of harbor, coastal and offshore structures and their structural members.

scholarly journals A novel method for determining the feasible integral self-stress states for tensegrity structures

2021 ◽  
Vol 8 (1) ◽  
pp. 70-88
Author(s):  
Aguinaldo Fraddosio ◽  
Gaetano Pavone ◽  
Mario Daniele Piccioni
Keyword(s):  
Form Finding ◽  
Tensegrity Structures ◽  
Innovative Method ◽  
Symmetry Properties ◽  
Nodal Coordinates ◽  
Novel Method ◽  
Equilibrium Matrix ◽  
Stress States ◽  
Value Decomposition ◽  
External Loads

Abstract The form-finding analysis is a crucial step for determining the stable self-equilibrated states for tensegrity structures, in the absence of external loads. This form-finding problem leads to the evaluation of both the self-stress in the elements and the shape of the tensegrity structure. This paper presents a novel method for determining feasible integral self-stress states for tensegrity structures, that is self-equilibrated states consistent with the unilateral behaviour of the elements, struts in compression and cables in tension, and with the symmetry properties of the structure. In particular, once defined the connectivity between the elements and the nodal coordinates, the feasible self-stress states are determined by suitably investigating the Distributed Static Indeterminacy (DSI). The proposed method allows for obtaining feasible integral self-stress solutions by a unique Singular Value Decomposition (SVD) of the equilibrium matrix, whereas other approaches in the literature require two SVD. Moreover, the proposed approach allows for effectively determining the Force Denstiy matrix, whose properties are strictly related to the super-stability of the tensegrity structures. Three tensegrity structures were studied in order to assess and discuss the efficiency and accuracy of the proposed innovative method.

Form-Finding of Tensegrity Structures with Boundary Constraints Using Parallel Computation of Singular Value Decomposition

2019 ◽  
Author(s):  
Xiaodong Feng ◽  
Shirong Huang ◽  
Can Chen ◽  
Yaozhi Luo ◽  
Sergio Zlotnik
Keyword(s):  
Singular Value Decomposition ◽  
Parallel Computation ◽  
Singular Value ◽  
Force Density ◽  
Form Finding ◽  
Tensegrity Structures ◽  
Boundary Constraints ◽  
Tensegrity Structure ◽  
Equilibrium Configurations ◽  
Value Decomposition

A novel analysis method is presented for form-finding of tensegrity structures subjected to boundary constraints. Dummy members are introduced to free the fixed nodes as to transform the tensegrity structure with boundary constraints into free-standing self-stressed system without supports. The geometrical topology, the dimension of the structure and the element prototype are the only information that is required in the proposed form-finding process. Parallel computation of singular value decomposition of the force density matrix and the equilibrium matrix are performed iteratively to seek the feasible sets of nodal coordinates and force densities. A rigorous definition is given for the required rank deficiencies of the force density and equilibrium matrices that lead to a stable non-degenrate d-dimensional self-stresssed tensegrity structure. Several illustrative examples are presented to demonstrate the efficiency and robustness in searching self-equilibrium configurations of tensegrity structures subjected to boundary constraints.

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