• 제목/요약/키워드: The Principle of Equilibrium

검색결과 216건 처리시간 0.029초

전진비행시 복합재료 헬리콥터 회전익의 공탄성에 대한 파라미터 연구 (A Parametric Investigation Into the Aeroelasticity of Composite Helicopter Rotor Blades in Forward Flight)

  • 정성남;김경남;김승조
    • 소음진동
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    • 제7권5호
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    • pp.819-826
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    • 1997
  • The finite element analyses of a composite hingeless rotor blade in forward flight have been performed to investigate the influence of blade design parameters on the blade stability. The blade structure is represented by a single cell composite box-beam and its nonclassical effects such as transverse shear and torsion-related warping are considered. The nonlinear periodic differential equations of motion are obtained by moderate deflection beam theory and finite element method based on Hamilton principle. Aerodynamic forces are calculated using the quasi-steady strip theiry with compressibility and reverse flow effects. The coupling effects between the rotor blade and the fuselage are included in a free flight propulsive trim analysis. Damping values are calculated by using the Floquet transition matrix theory from the linearized equations perturbed at equilibrium position of the blade. The aeroelastic results were compared with an alternative analytic approch, and they showed good correlation with each other. Some parametric investigations for the helicopter design variables, such as pretwist and precone angles are carried out to know the aeroelastic behavior of the rotor.

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Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis

  • Kargar, Masood;Bidgoli, Mahmood Rabani
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.465-477
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    • 2018
  • In this research, vibration and smart control analysis of a concrete foundation reinforced by $SiO_2$ nanoparticles and covered by piezoelectric layer on soil medium is investigated. The soil medium is simulated with spring constants and the Mori-Tanaka low is used for obtaining the material properties of nano-composite structure and considering agglomeration effects. With considering first order shear deformation theory, the total potential energy of system is calculated and by means of Hamilton's principle in three displacement directions and electric potential, the six coupled equilibrium equations are obtained. Also, based an analytical method, the frequency of system is calculated. The effects of applied voltage, volume percent and agglomeration of $SiO_2$ nanoparticles, soil medium and geometrical parameters of structure are shown on the frequency of system. Results show that with applying negative voltage, the frequency of structure is increased.

A New Hybrid-Mixed Composite Laminated Curved Beam Element

  • Lee Ho-Cheol;Kim Jin-Gon
    • Journal of Mechanical Science and Technology
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    • 제19권3호
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    • pp.811-819
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    • 2005
  • In this study, we present a new efficient hybrid-mixed composite laminated curved beam element. The present element, which is based on the Hellinger-Reissner variational principle and the first-order shear deformation lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees in order to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the ($6{\times}6$) element stiffness matrix. The present study also incorporates the straightforward prediction of interlaminar stresses from equilibrium equations. Several numerical examples confirm the superior behavior of the present composite laminated curved beam element.

GAME MODEL AND ITS SOLVING METHOD FOR OPTIMAL SCALE OF POWER PLANTS ENTERING GENERATION POWER MARKET

  • Tan, Zhongfu;Chen, Guangjuan;Li, Xiaojun
    • Journal of applied mathematics & informatics
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    • 제26권1_2호
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    • pp.337-347
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    • 2008
  • Based on social welfare maximum theory, the optimal scale of power plants entering generation power market being is researched. A static non-cooperative game model for short-term optimization of power plants with different cost is presented. And the equilibrium solutions and the total social welfare are obtained. According to principle of maximum social welfare selection, the optimization model is solved, optimal number of power plants entering the market is determined. The optimization results can not only increase the customer surplus and improve power production efficiency, but also sustain normal profits of power plants and scale economy of power production, and the waste of resource can also be avoided. At last, case results show that the proposed model is efficient.

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Nonlinear thermoelastic response of laminated composite conical panels

  • Joshi, R.M.;Patel, B.P.
    • Structural Engineering and Mechanics
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    • 제34권1호
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    • pp.97-107
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    • 2010
  • Nonlinear thermoelastic static response characteristics of laminated composite conical panels are studied employing finite element approach based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering moderately large deformation, are solved using Newton-Raphson iterative technique coupled with the adaptive displacement control method to efficiently trace the equilibrium path. The validation of the formulation for mechanical and thermal loading cases is carried out. The present results are found to be in good agreement with those available in the literature. The adaptive displacement control method is found to be capable of handling problems with multiple snapping responses. Detailed parametric study is carried out to highlight the influence of semicone angle, boundary conditions, radius-to-thickness ratio and lamination scheme on the nonlinear thremoelastic response of laminated cylindrical and conical panels.

Spline function solution for the ultimate strength of member structures

  • Zhang, Qi-Lin;Shen, Zu-Yan
    • Structural Engineering and Mechanics
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    • 제2권2호
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    • pp.185-196
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    • 1994
  • In this paper a spline function solution for the ultimate strength of steel members and member structures is derived based on total Lagrangian formulation. The displacements of members along longitudinal and transverse directions are interpolated by one-order B spline functions and three-order hybrid spline functions respectively. Equilibrium equations are established according to the principle of virtual work. All initial imperfections of members and effects of loading, unloading and reloading of material are taken into account. The influence of the instability of members on structural behavior can be included in analyses. Numerical examples show that the method of this paper can satisfactorily analyze the elasto-plastic large deflection problems of planar steel member and member structures.

Chua다이오드의 비선형제어 (Nonlinear Control of Chua's Diode)

  • 임소영;이호진;이정국;김성열;이금원;이준모
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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    • pp.285-287
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    • 2006
  • The paper treats the nonlinear robust control of Chua's circuit having Chuar's diode as an element based on the internal model principle. The Chua's diode has unknown nonlinear parameters and the circuits parameters are alos assumend unknown. Nonlinear regulator equations are established to obtain 3-fold equilibrium equations on which the output error is zero. Also an internal model of the 3-fold exosystem is constructed for obtaining the control law. Pole Placement method is used for obtaining the feeback control law. Simulation results are presented for tracking the sinusoidal and constant reference input signal. Asymptotic trajectory control and the suppression of chaotic motion in spite of uncertainties in the system are accomplished.

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생체에너지(기) 전달에 의한 경락 반응 분석 (Analysis of meridian response by bio-energy transmission)

  • 정석준;이용흠;정동명
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 하계종합학술대회 논문집(5)
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    • pp.141-144
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    • 2002
  • Acupuncture effect principle on meridians is what physical stimulation does on general physiology so that it gets into new equilibrium from the fallen function state of human body. However, it is generally accepted that western medicine has regarded the action passageway of various kinds stimulation as nerve fluids tissue or nerve-endocrine-immune system. These regard any action for all meridians as a response to the stimulation. These are not treatments for transmission of the energy. This paper compares the change of electric potential when operator's bio-energy is passed on and when is not. As a result of it, the effect of acupuncture is different when a operator's bio-energy is passed on to meridians and it isn't. Therefore, it means that the general acupuncture is more effective than the insulation one. Moreover, we could certify that there is close relation between an operator's energy transmission and acupuncture effect.

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Bending response of functionally graded piezoelectric plates using a two-variable shear deformation theory

  • Zenkour, Ashraf M.;Hafed, Zahra S.
    • Advances in aircraft and spacecraft science
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    • 제7권2호
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    • pp.115-134
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    • 2020
  • This paper proposes a bending analysis for a functionally graded piezoelectric (FGP) plate through utilizing a two-variable shear deformation plate theory under simply-supported edge conditions. The number of unknown functions used in this theory is only four. The electric potential distribution is assumed to be a combination of a cosine function along the cartesian coordinate. Applying the analytical solutions of FGP plate by using Navier's approach and the principle of virtual work, the equilibrium equations are derived. The paper also discusses thoroughly the impact of applied electric voltage, plate's aspect ratio, thickness ratio and inhomogeneity parameter. Results are compared with the analytical solution obtained by classical plate theory, first-order-shear deformation theory, higher-order shear deformation plate theories and quasi-three-dimensional sinusoidal shear deformation plate theory.

Axisymmetrical bending of single- and multi-span functionally graded hollow cylinders

  • Bian, Z.G.;Wang, Y.H.
    • Structural Engineering and Mechanics
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    • 제45권3호
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    • pp.355-371
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    • 2013
  • Single- and multi-span orthotropic functionally graded hollow cylinders subjected to axisymmetrical bending are investigated on the basis of a unified shear deformable shell theory, in which the transverse displacement is expressed by means of a general shape function. To approach the through-thickness inhomogeneity of the hollow cylinder, a laminated model is employed. The shape function therefore shall be determined for each fictitious layer. To improve the computational efficiency, we resort to a transfer matrix method. Based on the principle of minimum potential energy, equilibrium equations are established, which are then solved analytically using the transfer matrix method for arbitrary boundary conditions. Numerical comparisons among a third-order shear deformable shell theory, an exact elastic theory and the present theory are provided for a simply supported hollow cylinder, from which the present theory turns out to be superior in stress estimation. Distributions of displacements and stresses in single- and three-span hollow cylinders with different boundary conditions are also illustrated in numerical examples.