scholarly journals State-Space Method for Dynamic Responses of Double Beams with General Viscoelastic Interlayer

2021 ◽  
pp. 113979
Author(s):  
Y.X. Li ◽  
F. Xiong ◽  
L.Z. Xie ◽  
L.Z. Sun
Keyword(s):  
State Space ◽  
Dynamic Responses ◽  
State Space Method ◽  
Viscoelastic Interlayer ◽  
Space Method

State-Space Solution of Estuary Bed Responses Subjected to Extreme Hydrodynamic Conditions. II: Storm Surge

2011 ◽  
Vol 374-377 ◽  
pp. 2529-2532
Author(s):  
Dong Zi Pan ◽  
Xin Zhao ◽  
Ying Li
Keyword(s):  
Solitary Wave ◽  
State Space ◽  
Storm Surge ◽  
Water Waves ◽  
Matrix Theory ◽  
Integral Transform ◽  
Dynamic Responses ◽  
Induced Response ◽  
State Space Method ◽  
Space Method

Storm surge is an abnormal rise of water generated by a storm, over and above the predicted astronomical tides. The solitary wave theory can be considered good representations of tsunami, storm surge and nonlinear shallow water waves. Based on the same theoretical formulation mentioned in the Part I, we derive the analytical solutions for dynamic responses of an estuary bed to solitary wave excitation are studied by state-space method. State-space method together with Laplace-Fourier transform techniques are used to solve the governing equations. The solitary wave-induced response of estuary bed can be calculated by using the matrix theory, boundary conditions and inverting integral transform. Compared with the special solution in preceding literatures, it’s shown that the proposed method has the advantage of high calculation efficiency and accuracy.

A new state-space method for exponentially damped linear systems

2019 ◽  
Vol 212 ◽  
pp. 137-144 ◽  
Author(s):  
Xinhai Wu ◽  
Huan He ◽  
Guoping Chen
Keyword(s):  
State Space ◽  
Linear Systems ◽  
State Space Method ◽  
Space Method

Study on Small Fluctuation Stability in Air Cushion Surge Chamber Based on State Space Method

2017 ◽  
Author(s):  
Jiachun Liu ◽  
Jian Zhang ◽  
Xiaodong Yu ◽  
Hui Xie
Keyword(s):  
State Space ◽  
Great Influence ◽  
State Space Method ◽  
Actual System ◽  
Small Fluctuation ◽  
Chamber Height ◽  
Air Chamber ◽  
Water Conveyance ◽  
Air Cushion ◽  
Space Method

In this paper, on the basis of the state space method and actual system arrangement, the small fluctuation mathematical model of the water conveyance system with air cushion surge chamber (ACSC) was established. According to the basic equations of ACSC, the ideal gas state equation and the units constant output equation, the formula describing the stable cross-section area (SCSA) of ACSC was deduced, and the small fluctuation stability (SFS) of water conveyance system was analyzed. The corresponding results showed that the air chamber constant had a great influence on the SCSA of ACSC. When the air chamber constant became larger, the quality of the system small fluctuation went worse. The higher upstream water level and the lower initial air chamber height will lead to a smaller initial air chamber constant of ACSC, which is destructive for the stability of the system small fluctuation; As long as the equivalent air quality and air chamber volume are constant, good quality system small fluctuations could be obtained when the initial air chamber height is small and the area of ACSC is large.

Exact Solution of Laminated Orthogonal Hyperbolic Shells of Thermoelastic with Four Simply Supported

2015 ◽  
Vol 727-728 ◽  
pp. 529-540
Author(s):  
Jian Hai Xue ◽  
Jia Yu Li
Keyword(s):  
Exact Solution ◽  
State Space ◽  
Thermal Gradient ◽  
State Equation ◽  
Constitutive Relationship ◽  
Homogeneous State ◽  
State Space Method ◽  
Constitutive Relationships ◽  
Laminated Structures ◽  
Space Method

The exact solution of laminated Orthogonal Hyperbolic shell of thermoelastic composite is very important to investigate it’s the mechanical properties. Therefore, many studies were completed in this paper. Firstly, the non-homogeneous state equation in generic coordinates is derived for thermoelastic composites including thermal gradient relationships by the basic equations and state space method. Secondly, an augmented dimension constitutive relationship was obtained by combining thermal gradient relationships into constitutive relationships of composite constitutive relationships based on the theory of symplectic variable and precise time-integration with dimension expanding method. Lastly, uniting state space method and the augmented dimension constitutive relationships, a homogeneous state equation which can be solely solved was deduced by eliminating the stresses in plane. The homogeneous state equation can simplify greatly the solution process of the laminated Orthogonal Hyperbolic shell, improve the calculation accuracy. What’s more, it can be discrete straightly in finite element format. So, the homogeneous state equation, derived in the paper, can supply a new method for the exact solution of laminated structures with complicated boundary condition in practice.

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