Flutter analysis of the rotating missile’s variable cross-section empennage by the Differential Quadrature Method

2016 ◽  
pp. 595-600
Author(s):  
B Zhao ◽  
R Liu ◽  
R Guo ◽  
L Liu ◽  
X Xu
Keyword(s):  
Cross Section ◽  
Differential Quadrature Method ◽  
Variable Cross Section ◽  
Differential Quadrature ◽  
Variable Cross ◽  
Quadrature Method ◽  
Flutter Analysis

scholarly journals Dynamic Analysis of Single-Layered Graphene Nano-Ribbons (SLGNRs) with Variable Cross-Section Resting on Elastic Foundation

2019 ◽  
Vol 6 (1) ◽  
pp. 132-145 ◽  
Author(s):  
Subrat Kumar Jena ◽  
S. Chakraverty
Keyword(s):  
Elastic Foundation ◽  
Cross Section ◽  
Differential Quadrature Method ◽  
Beam Theory ◽  
Nonlocal Elasticity Theory ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Winkler Elastic Foundation ◽  
The Cross ◽  
Euler Bernoulli Beam

AbstractThis article deals with free vibration of the variable cross-section (non-uniform) single-layered graphene nano-ribbons (SLGNRs) resting on Winkler elastic foundation using the Differential Quadrature Method (DQM). Here characteristic width of the cross-section is varied exponentially along the length of the nano-ribbon while the thickness of the cross section is kept constant. Euler–Bernoulli beam theory in conjunction with Eringen nonlocal elasticity theory is considered in this study. The numerical as well as graphical results are reported by using MATLAB codes developed by authors. Convergence of present method is explored and our results are compared with known results available in literature showing excellent agreement. Further, effects various parameters on frequency parameters are studied comprehensively.

Study on Natural Frequencies of Transverse Free Vibration of Functionally Graded Axis Beams by the Differential Quadrature Method

2019 ◽  
Vol 105 (6) ◽  
pp. 1095-1104
Author(s):  
Jin-lun Zhang ◽  
Liao-jun Zhang ◽  
Ren-yu Ge ◽  
Li Yang ◽  
Jun-wu Xia
Keyword(s):  
Free Vibration ◽  
Natural Frequencies ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Differential Quadrature ◽  
Variable Cross ◽  
Quadrature Method ◽  
Bernoulli Beam ◽  
Functionally Graded Beam ◽  
Euler Bernoulli Beam

Functionally gradient materials with special mechanical characteristics are more and more widely used in engineering. The functionally graded beam is one of the commonly used components to bear forces in the structure. Accurate analysis of the dynamic characteristics of the axially functionally graded (AFG) beam plays a vital role in the design and safe operation of the whole structure. Based on the Euler-Bernoulli beam theory (EBT), the characteristic equation of transverse free vibration for the AFG Euler-Bernoulli beam with variable cross-section is obtained in the present work, and the governing equations of the beam are transformed into ordinary differential equations with variable coefficients. Using differential quadrature method (DQM), the solution formulas of characteristic equations under different boundary conditions are derived, and the natural frequencies of the AFG beam are calculated, while the node partition of a non-uniform geometric progression is discussed.

scholarly journals Analysis of Vibrating Timoshenko Beams Using the Method of Differential Quadrature

1993 ◽  
Vol 1 (1) ◽  
pp. 89-93 ◽  
Author(s):  
P.A.A. Laura ◽  
R.H. Gutierrez
Keyword(s):  
Approximate Solution ◽  
Finite Number ◽  
Cross Section ◽  
Numerical Experiments ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Timoshenko Beams ◽  
Collocation Approach ◽  
Polynomial Collocation

The main advantages of the differential quadrature method are its inherent conceptual simplicity and the fact that easily programmable algorithmic expressions are obtained. It was developed by Bellman in the 1970s but only recently has been applied in the solution of technically important problems. Essentially, it consists of the approximate solution of the differential system by means of a polynomial–collocation approach at a finite number of points selected by the analyst. This article reports some numerical experiments on vibrating Timoshenko beams of nonuniform cross-section.

Flutter Analysis of Composite Wing Using Differential Quadrature Method

2013 ◽  
Vol 765-767 ◽  
pp. 3147-3150
Author(s):  
Yan Ping Xiao ◽  
Jun Yang ◽  
Jun Li Yang
Keyword(s):  
Galerkin Method ◽  
Differential Quadrature Method ◽  
Equations Of Motion ◽  
Computing Time ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Flutter Speed ◽  
Flutter Analysis ◽  
Good Agreement ◽  
Composite Wing

Considering the geometric and material coupling of a composite wing, the equations of motion are derived based on Hamilton theory. Frequencies computing and validation of a composite wing with bending-torsion coupling using differential quadrature method (DQM). And the DQM is applied to the flutter speed solution of a composite wing. The results thus obtained are then compared with some available results and a good agreement is observed. The computing time of DQM is highly improved compared with Galerkin method. Moreover, the effect of material coupling rigidity on flutter speed is analyzed and this is important to the design of composite wings.

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