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Yang Jun - One of the best experts on this subject based on the ideXlab platform.

  • NONLINEAR BENDING OF BIMODULOUS PANEL ALUMINUM FOAM CORE CIRCULAR LAMINATED PLATE
    Engineering mechanics, 2011
    Co-Authors: Yang Jun
    Abstract:

    The Static Equilibrium Equation of a bimodulus panel aluminum foam core circular laminated plate under a uniformly distributed load was established by using elastic mechanics theory.The location of the neutral plane in the bimodulus panel aluminum foam core circular laminated plate was determined by utilization of the Static Equilibrium Equation.Taking shear deformation into consideration,it was studied that the axisymmetric nonlinear bending of bimodulous panel aluminum foam core circular laminated plate with energy method,and the relation expression between the central deflection of the circular laminated plate and a uniformly distributed load was obtained.Through the FEM analysis of a circular laminated plate,the correctness of the method was verified.The numerical example shows that the nonlinear bending calculation of a bimodulus panel aluminum foam core circular laminated plate may as well not apply classical elastic theory with same elastic modulus,and that it should use elastic theory with different elastic moduli in tension and compression.

  • Kantorovich Variational Solution of Bending Bimodulous Parallelogram Plate
    Chinese Quarterly of Mechanics, 2010
    Co-Authors: Yang Jun
    Abstract:

    The bimodulous parallelogram plate could form isotropic compression and tensile area under uniform load.The bimodulous parallelogram plate was regarded as laminated plate composited of two kind of isotropic material.The Static Equilibrium Equation of bimodulous parallelogram plate under uniform load was established by using the elastic mechanics theory.The location of neutral plane in bimodulous parallelogram plate was determined by the utilization of Static Equilibrium Equation.The bending deformation of bimodulous parallelogram plate under uniform load was studied with Kantorovich variational method.And the calculation results were compared with that obtained by finite element,and it shows that kantorovich variational method is reliable.The main conclusions are as follows: the deflection calculationof bimodulous parallelogram plate which has larger difference between tensile elastic modulus and compressive elastic modulus may as well not apply classical plate-shell theory with same elastic modulus,and should use bimodulous plate-shell theory.

Huafeng Ding - One of the best experts on this subject based on the ideXlab platform.

  • A method for stiffness analysis of overconstrained parallel robotic mechanisms with Scara motion
    Robotics and Computer-Integrated Manufacturing, 2018
    Co-Authors: Wen-ao Cao, Donghao Yang, Huafeng Ding
    Abstract:

    Abstract This paper presents a general method for analyzing stiffness of overconstrained parallel robotic mechanisms with Scara motion. In the method, the stiffness model of a limb is derived by applying Castigliano's second theorem to strain energy of the limb with a structural decomposition strategy, and the stiffness matrix of a parallel mechanism is established based on stiffness models of limbs and the Static Equilibrium Equation of the moving platform. Comparisons show that the stiffness model obtained from the proposed method is very close to the counterpart obtained from finite element analysis (FEA). In addition, a new index is proposed to evaluate stiffness performance of a parallel mechanism in a given configuration based on strain energy under external unit forces and moments. With this index, the dimensions of a parallel mechanism can be optimized and the path of a given task can be planned to obtain high stiffness.

  • A Method for Compliance Modeling of Five Degree-of-Freedom Overconstrained Parallel Robotic Mechanisms With 3T2R Output Motion
    Journal of Mechanisms and Robotics, 2016
    Co-Authors: Wen-ao Cao, Huafeng Ding, Donghao Yang
    Abstract:

    This paper presents an approach to compliance modeling of three-translation and two-rotation (3T2R) overconstrained parallel manipulators, especially for those with multilink and multijoint limbs. The expressions of applied wrenches (forces/torques) exerted on joints are solved with few Static Equilibrium Equations based on screw theory. A systematic method is proposed for deriving the stiffness model of a limb with considering the couplings between the stiffness along the constrained wrench and the one along the actuated wrench based on strain energy analysis. The compliance model of a 3T2R overconstrained parallel mechanism is established based on stiffness models of limbs and the Static Equilibrium Equation of the moving platform. Comparisons show that the compliance matrix obtained from the method is close to the one obtained from a finite-element analysis (FEA) model. The proposed method has the characteristics of involving low computational efforts and considering stiffness couplings of each limb.

Huang Chong - One of the best experts on this subject based on the ideXlab platform.

  • Elastic dynamic calculation for bimodulous circular plate under the condition of impact load
    Journal of Xi'an University of Architecture & Technology, 2012
    Co-Authors: Huang Chong
    Abstract:

    Static Equilibrium Equation for bimodulous circular plate under the condition of external loads was established by using elastic theory.The location of neutral plane in bimodulous circular plate was determined by the utilization of Static Equilibrium Equation.The bending deformation differential Equations for bimodulous circular plate was derived,and the Static deflection expression for bimodulous circular plate under the condition of impact load was acquired.On this basis,the influence of the mass of impact objects and shocked bimodulous circular plate were considered,the bimodulous circular plate with distributed mass was transformed into a flexible system with only a concentrated mass,and the dynamic factor for bimodulous circular plate under the condition of impact load was derived.The computational result indicates that the mass and the momentary speed before the shocked mement of impact objects had more influence on dynamic factor than other factors.

  • Bending calculation of cast iron panel aluminum foam core laminated plate
    Journal of Hunan University of Arts and Science, 2010
    Co-Authors: Huang Chong
    Abstract:

    As cast iron being a typical material with different elastic moduli in tension and compression,cast iron panel aluminum foam core laminated plate is equivalent to laminated plate composition of three different materials under external loads. Static Equilibrium Equation of cast iron panel aluminum foam core laminated plate under uniform load was established using elastic mechanics theory. The location of neutral plane in cast iron panel aluminum foam core laminated plate is determined by the utilization of Static Equilibrium Equation. The bending deformation differential equtions of cast iron panel aluminum foam core laminated plate is derived,and the deflection expression of laminated plate is got. On the FEM analysis of laminated plate ,the correctness of the method was verified. The numerical example shows that the bending deflection calculation of cast iron panel aluminum foam core laminated laminated plate may as well not apply classical elastic theory with same elastic modulus,and should use elastic theory with different elastic moduli in tension and compression.

N Ganesan - One of the best experts on this subject based on the ideXlab platform.

  • Static analysis of functionally graded beams using higher order shear deformation theory
    Applied Mathematical Modelling, 2008
    Co-Authors: Ravikiran Kadoli, Kashif Akhtar, N Ganesan
    Abstract:

    Abstract Displacement field based on higher order shear deformation theory is implemented to study the Static behavior of functionally graded metal–ceramic (FGM) beams under ambient temperature. FGM beams with variation of volume fraction of metal or ceramic based on power law exponent are considered. Using the principle of stationary potential energy, the finite element form of Static Equilibrium Equation for FGM beam is presented. Two stiffness matrices are thus derived so that one among them will reflect the influence of rotation of the normal and the other shear rotation. Numerical results on the transverse deflection, axial and shear stresses in a moderately thick FGM beam under uniform distributed load for clamped–clamped and simply supported boundary conditions are discussed in depth. The effect of power law exponent for various combination of metal–ceramic FGM beam on the deflection and stresses are also commented. The studies reveal that, depending on whether the loading is on the ceramic rich face or metal rich face of the beam, the Static deflection and the Static stresses in the beam do not remain the same.

Wen-ao Cao - One of the best experts on this subject based on the ideXlab platform.

  • A method for stiffness analysis of overconstrained parallel robotic mechanisms with Scara motion
    Robotics and Computer-Integrated Manufacturing, 2018
    Co-Authors: Wen-ao Cao, Donghao Yang, Huafeng Ding
    Abstract:

    Abstract This paper presents a general method for analyzing stiffness of overconstrained parallel robotic mechanisms with Scara motion. In the method, the stiffness model of a limb is derived by applying Castigliano's second theorem to strain energy of the limb with a structural decomposition strategy, and the stiffness matrix of a parallel mechanism is established based on stiffness models of limbs and the Static Equilibrium Equation of the moving platform. Comparisons show that the stiffness model obtained from the proposed method is very close to the counterpart obtained from finite element analysis (FEA). In addition, a new index is proposed to evaluate stiffness performance of a parallel mechanism in a given configuration based on strain energy under external unit forces and moments. With this index, the dimensions of a parallel mechanism can be optimized and the path of a given task can be planned to obtain high stiffness.

  • A Method for Compliance Modeling of Five Degree-of-Freedom Overconstrained Parallel Robotic Mechanisms With 3T2R Output Motion
    Journal of Mechanisms and Robotics, 2016
    Co-Authors: Wen-ao Cao, Huafeng Ding, Donghao Yang
    Abstract:

    This paper presents an approach to compliance modeling of three-translation and two-rotation (3T2R) overconstrained parallel manipulators, especially for those with multilink and multijoint limbs. The expressions of applied wrenches (forces/torques) exerted on joints are solved with few Static Equilibrium Equations based on screw theory. A systematic method is proposed for deriving the stiffness model of a limb with considering the couplings between the stiffness along the constrained wrench and the one along the actuated wrench based on strain energy analysis. The compliance model of a 3T2R overconstrained parallel mechanism is established based on stiffness models of limbs and the Static Equilibrium Equation of the moving platform. Comparisons show that the compliance matrix obtained from the method is close to the one obtained from a finite-element analysis (FEA) model. The proposed method has the characteristics of involving low computational efforts and considering stiffness couplings of each limb.