On the Elimination of Infinite Memory Effects on the Stability of a Nonlinear Non-homogeneous Rotating Body-Beam System

2022 ◽  
Author(s):  
Boumediène Chentouf ◽  
Zhong-Jie Han
Keyword(s):  
Memory Effects ◽  
Infinite Memory ◽  
Rotating Body ◽  
Beam System ◽  
The Stability

Design of Interlocking Bricks Beam

2020 ◽  
Vol 858 ◽  
pp. 188-192
Author(s):  
Muhammad Ilman Faiz Muhamad ◽  
Norazman Mohamad Nor ◽  
Muhamed Alias Yusof ◽  
Hapsa Husen
Keyword(s):  
Reinforced Concrete ◽  
Full Scale ◽  
Load Bearing ◽  
Beam System ◽  
Hollow Brick ◽  
The Stability ◽  
Reinforcement Bar ◽  
Ductile Behavior ◽  
Infill Material ◽  
Hollow Bricks

Interlocking Brick System (IBs) is one of the current technologies used in the construction of load bearing walls. The concepts behind the IBs include the elimination of the mortar layer. The interlocking brick system investigated in this study is load bearing interlocking brick beam system relied on U-shaped hollow bricks in bed row to form beam to transfer load from wall opening. Reinforced concrete grout stiffeners were added in vertical and horizontal directions to enhance the stability and integrity of the beams. Mortar and grout are used as infill material. Generally, in this research, specimens are prepared for full scale testing with different parameters in reinforcement and fillings. The size of interlocking brick is 125 mm x 250 mm x 100 mm and the diameter of reinforcement bar (rebar) used is 12 mm. The dimension of the interlocking bricks beam is 2130 mm length, 125 mm width, and 300 mm height. The arrangement of hollow interlocking brick in bed row will causes a ductile behavior which will be mitigated by the horizontal reinforcement coated by mortar or grout between two layers of hollow brick.

Infinite-dimensional Luenberger-like observers for a rotating body-beam system

2011 ◽  
Vol 60 (2) ◽  
pp. 138-145 ◽  
Author(s):  
Xiao-Dong Li ◽  
Cheng-Zhong Xu
Keyword(s):  
Infinite Dimensional ◽  
Rotating Body ◽  
Beam System

Stabilizability and stabilization of a rotating body-beam system with torque control

1993 ◽  
Vol 38 (12) ◽  
pp. 1754-1765 ◽  
Author(s):  
C.-Z. Xu ◽  
J. Baillieul
Keyword(s):  
Torque Control ◽  
Rotating Body ◽  
Beam System

scholarly journals Existence and Stability of the Periodic Orbits Induced by Grazing Bifurcation in a Cantilever Beam System with Single Rigid Impacting Constraint

2021 ◽  
Author(s):  
Run Liu ◽  
Yuan Yue ◽  
Jianhua Xie
Keyword(s):  
Periodic Orbits ◽  
Cantilever Beam ◽  
Shooting Method ◽  
Jacobian Matrix ◽  
Mapping Method ◽  
Grazing Bifurcation ◽  
Beam System ◽  
Existence And Stability ◽  
The Stability ◽  
The Relationship

Abstract Grazing which can induce many nonclassical bifurcations, is a special dynamic phenomenon in some non-smooth dynamical systems such as vibro-impact systems with clearance. In this paper, the existence and stability of the periodic orbits induced by the grazing bifurcation in a cantilever beam system with impacts are uncovered. Firstly, the Poincaré mapping of the system is obtained by the discontinuous mapping method. Secondly, the periodic orbits are determined by means of shooting method, and Jacobian matrix in the case of non-impact is obtained subsequently. Thirdly, for various impacting patterns, a combination of inhomogeneous equations and inequations is obtained to determine the existence of period orbits after grazing. Furthermore, the stability criterion of the grazing-induced periodic orbits is given. Numerical results verify the effectiveness of theoretical analysis. What’s more, we also give a conjecture about the relationship between eigenvalues and the type of periodic orbits when eigenvalues are imaginary numbers.

scholarly journals On the stability of a laminated Timoshenko problem with interfacial slip in the whole space under frictional dampings or infinite memories

2020 ◽  
Vol 7 (1) ◽  
pp. 194-218
Author(s):  
Aissa Guesmia
Keyword(s):  
Initial Data ◽  
Hyperbolic Equations ◽  
Weight Functions ◽  
Stability Estimates ◽  
Interfacial Slip ◽  
Infinite Memory ◽  
Bounded Interval ◽  
Frictional Damping ◽  
Stability And Instability ◽  
The Stability

Abstract The author of the present paper considered in [16] a model describing a vibrating strucure of an interfacial slip and consists of three coupled hyperbolic equations in one-dimensional bounded interval, where the dissipation is generated by either a frictional damping or an infinite memory, and it is acting only on one component. Some strong, polynomial, exponential and non exponential stability results were proved in [16] depending on the values of the parameters and the regularity of the initial data. The objective of the present paper is to compelete the study of [16] by considering this model in the whole line ℝ and under only one control given by a frictional damping or an infinite memory. When the system is controled via its second or third component (rotation angle displacement or dynamic of the slip), we show that this control alone is sufficient to stabilize our system and get different polynomial stability estimates in the L 2-norm of the solution and its higher order derivatives with respect to the space variable. The decay rate depends on the regularity of the initial data, the nature of the control and the parameters in the system. However, when the system is controled via its first component (transversal displacement), we found a new stability condition depending on the parameters in the system. This condition defines a limit between the stability and instability of the system in the sense that, when this condition is staisfied, the system is polynomially stable. Otherwise, when this condition is not satisfied, we prove that the solution does not converge to zero at all. The proofs are based on the energy method and Fourier analysis combined with judicious choices of weight functions.

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