Table of Content

01 March 2015, Volume 36 Issue 3

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Articles

Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

Fengming LI;Zhiguang SONG

2015, 36(3):  279-292.  doi:10.1007/s10483-015-1912-6

Abstract ( 518 )   HTML   PDF (563KB) ( 174 )  

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The piezoelectric materials are used to investigate the active vibration control of ordered/disordered periodic two-span beams. The equation of motion of each sub-beam with piezoelectric patches is established based on Hamilton's principle with an assumed mode method. The velocity feedback control algorithm is used to design the controller. The free and forced vibration behaviors of the two-span beams with the piezoelectric actuators and sensors are analyzed. The vibration properties of the disordered two-span beams caused by misplacing the middle support are also researched. In addition, the effects of the length disorder degree on the vibration performances of the disordered beams are investigated. From the numerical results, it can be concluded that the disorder in the length of the periodic two-span beams will cause vibration localizations of the free and forced vibrations of the structure, and the vibration localization phenomenon will be more and more obvious when the length difference between the two sub-beams increases. Moreover, when the velocity feedback control is used, both the forced and the free vibrations will be suppressed. Meanwhile, the vibration behaviors of the two-span beam are tuned.

Exact identities for sessile drops

M. HAJIRAHIMI;F. MOKHTARI;A. H. FATOLLAHI

2015, 36(3):  293-302.  doi:10.1007/s10483-015-1916-6

Abstract ( 556 )   HTML   PDF (328KB) ( 131 )  

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By direct integration of the Young-Laplace relation, a set of identities are presented for the axisymmetric sessile drops on flat and curved substrates. The geometrical parameters, including the apex curvature, the apex height, and the contact radius, are related by the identities. The validity of the identities is checked by various numerical solutions for drops on flat and curved substrates.

Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems

F. MOAYYEDIAN;M. KADKHODAYAN

2015, 36(3):  303-318.  doi:10.1007/s10483-015-1913-6

Abstract ( 717 )   HTML   PDF (474KB) ( 183 )  

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The Burzynski criterion is developed for anisotropic asymmetric metals with the non-associated flow rule (NAFR) for plane stress problems. The presented pressure depending on the yield criterion can be calibrated with ten experimental data, i.e., the tensile yield stresses at 0°, 45°, and 90°, the compressive yield stresses at 0°, 15°, 30°, 45°, 75°, and 90° from the rolling direction, and the biaxial tensile yield stress. The corresponding pressure independent plastic potential function can be calibrated with six experimental data, i.e., the tensile R-values at 0°, 15°, 45°, 75°, and 90° from the rolling direction and the tensile biaxial R-value. The downhill simplex method is used to solve these ten and six high nonlinear equations for the yield and plastic potential functions, re- spectively. The results show that the presented new criterion is appropriate for anisotropic asymmetric metals.

Outer synchronization of uncertain small-world networks via adaptive sliding mode control

Shuang LIU;Liqun CHEN

2015, 36(3):  319-328.  doi:10.1007/s10483-015-1911-6

Abstract ( 462 )   HTML   PDF (158KB) ( 132 )  

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The outer synchronization of irregular coupled complex networks is investigated with nonidentical topological structures. The switching gain is estimated by an adaptive technique, and a sliding mode controller is designed to satisfy the sliding condition. The outer synchronization between two irregular coupled complex networks with different initial conditions is implemented via the designed controllers with the corresponding parameter update laws. The chaos synchronization of two small-world networks consisting of N uncertain identical Lorenz systems is achieved to demonstrate the applications of the proposed approach.

Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

Qun HAN;Wei XU;Xiaole YUE

2015, 36(3):  329-336.  doi:10.1007/s10483-015-1918-6

Abstract ( 413 )   HTML   PDF (514KB) ( 136 )  

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The stochastic response of a noisy system with non-negative real-power restoring force is investigated. The generalized cell mapping (GCM) method is used to compute the transient and stationary probability density functions (PDFs). Combined with the global properties of the noise-free system, the evolutionary process of the transient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

Integral treatment for forced convection heat and mass transfer of nanofluids over linear stretching sheet

A. NOGHREHABADI;P. SALAMAT;M. GHALAMBAZ

2015, 36(3):  337-352.  doi:10.1007/s10483-015-1919-6

Abstract ( 470 )   HTML   PDF (307KB) ( 98 )  

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An integral treatment is proposed for the analysis of the forced convection flow of a nanofluid over a stretching sheet. The obtained results agree well with the numerical results. The results of the presented solution provide an analytic solution, which can be conveniently used in engineering applications. Four types of nanoparticles, i.e., alumina (Al₂O₃), silicon dioxide (SiO₂), silver (Ag), and copper (Cu), dispersed in the base fluid of water are examined. The analytical results show that an increase in the volume fraction of nanoparticles increases the thickness of the thermal boundary layer. The reduced Nusselt number is a decreasing function of the volume fraction of nanoparticles.

Generalized δ-entropy condition to Riemann solution for Chaplygin gas in traffic flow

Wancheng SHENG;Ying ZENG

2015, 36(3):  353-364.  doi:10.1007/s10483-015-1915-6

Abstract ( 524 )   HTML   PDF (162KB) ( 75 )  

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The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations, the δ-entropy conditions, and the gen- eralized δ-entropy conditions. A new Delta wave, which is called a primary Delta wave, is defined in some solutions. The primary Delta wave satisfies the generalized Rankine- Hugoniot relations and the generalized δ-entropy conditions. It generates initially from the Delta initial data, which either evaluates a Delta wave, whose weight becomes stronger and stronger, or disappears at a finite time.

Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation

Yinshan YUN;Chaolu TEMUER

2015, 36(3):  365-378.  doi:10.1007/s10483-015-1910-6

Abstract ( 445 )   HTML   PDF (954KB) ( 98 )  

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A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.

Theory and application of numerical simulation method of capillary force enhanced oil production

Yirang YUAN;Aijie CHENG;Danping YANG;Changfeng LI;Yunxin LIU

2015, 36(3):  379-400.  doi:10.1007/s10483-015-1917-6

Abstract ( 826 )   HTML   PDF (846KB) ( 82 )  

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A kind of second-order implicit upwind fractional step finite difference methods are presented for the numerical simulation of coupled systems for enhanced (chemical) oil production with capillary force in the porous media. Some techniques, e.g., the calculus of variations, the energy analysis method, the commutativity of the products of difference operators, the decomposition of high-order difference operators, and the theory of a priori estimate, are introduced. An optimal order error estimate in the l² norm is derived. The method is successfully used in the numerical simulation of the enhanced oil production in actual oilfields. The simulation results are satisfactory and interesting.

Existence of solutions for implicit fuzzy differential inclusions

Chao MIN;Nanjing HUANG;Zhibin LIU;Liehui ZHANG

2015, 36(3):  401-416.  doi:10.1007/s10483-015-1914-6

Abstract ( 464 )   HTML   PDF (327KB) ( 144 )  

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A class of implicit fuzzy differential inclusions (IFDIs) are introduced and studied. Some existence theorems under different conditions are proved with the selection theorems for the open situation and the closed situation, respectively. A viable solution for a closed IFDI is proved to exist under the tangential condition. As an application, an implicit fuzzy differential equation, which comes from the drilling dynamics in petroleum engineering, is analyzed numerically. The obtained results can improve and extend some known results for fuzzy differential inclusions (FDIs) and fuzzy differential equations (FDEs), which might be helpful in the analysis of fuzzy dynamic systems.