Dynamic analysis of a multilayered piezoelectric two-dimensional quasicrystal cylindrical shell filled with compressible fluid using the state-space approach

2020 ◽  
Vol 231 (6) ◽  
pp. 2351-2368
Author(s):  
Yunzhi Huang ◽  
Yang Li ◽  
Liangliang Zhang ◽  
Han Zhang ◽  
Yang Gao
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Analysis ◽  
State Space ◽  
Compressible Fluid ◽  
The State ◽  
Two Dimensional ◽  
State Space Approach ◽  
Space Approach

Assessment of cross-laminated timber panels by the state-space approach

2019 ◽  
Vol 22 (11) ◽  
pp. 2375-2391
Author(s):  
Asad S Albostami ◽  
Zhangjian Wu ◽  
Lee S Cunningham
Keyword(s):  
State Space ◽  
Three Dimensional ◽  
The State ◽  
Composite Panel ◽  
State Space Approach ◽  
Cross Laminated Timber ◽  
Practical Applications ◽  
The Cross ◽  
Analytical Approaches ◽  
Space Approach

In this article, cross-laminated timber panels are investigated as a novel engineering application of the state-space approach. As cross-laminated timber is a laminated composite panel, the three-dimensional analytical method provided by the state-space approach offers the potential for improved accuracy over existing common approaches to the analysis of cross-laminated timber. Before focusing on the specific application to cross-laminated timber, the general theory of the state-space approach is outlined. The method is then applied to describe the behaviour of a number of cross-laminated timber panel configurations previously examined experimentally and analytically. In order to demonstrate the capability of the state-space approach in this application, the results are compared with those from various two-dimensional and three-dimensional analytical approaches and finite element modelling briefly. With a view to design, different failure criteria are explored to assess the ultimate strength of the cross-laminated timber panels. The state-space approach demonstrates its superior capability in capturing the nonlinear distribution of the elastic stresses through the thickness of the cross-laminated timber panels over a range of span-to-thickness ratios common in practical applications.

Modeling of memory-dependent derivatives with the state-space approach

2019 ◽  
Vol 16 (4) ◽  
pp. 657-677
Author(s):  
Siddhartha Biswas
Keyword(s):  
Time Delay ◽  
State Space ◽  
Kernel Function ◽  
Generalized Thermoelasticity ◽  
Inversion Method ◽  
Two Dimensional ◽  
State Space Approach ◽  
Content Type ◽  
Coupled Equations ◽  
Space Approach

Purpose The purpose of this paper is to deal with a new generalized model of thermoelasticity theory with memory-dependent derivatives (MDD). Design/methodology/approach The two-dimensional equations of generalized thermoelasticity with MDD are solved using a state-space approach. The numerical inversion method is employed for the inversion of Laplace and Fourier transforms. Findings The solutions are presented graphically for different values of time delay and kernel function. Originality/value The governing coupled equations of the new generalized thermoelasticity with time delay and kernel function, which can be chosen freely according to the necessity of applications, are applied to a two-dimensional problem of an isotropic plate.

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