TAILIEUCHUNG - Duality in the analysis of responses to nonlinear systems

The paper provides a new view on the averaging procedure and equivalent linearization in the study of nonlinear mechanics. It is shown that the duality of those techniques can be used to obtain better approximate solutions or to separate the original nonlinear systems subjected to periodic and random excitations into deterministic and stochastic ones. | Vietnam Journal of Mechanics, VAST, Vol. 32, No. 3 (2010), pp. 135 – 144 A NEW ALGORITHM FOR KINEMATIC PROGRAM CONTROL OF OPTICAL PARTS BY GRINDING Nguyen Van Khang1 , Nguyen Trong Hung2 1 Hanoi University of Technology 2 Hung Yen University of Technology and Education Abstract. Based on the definition of the local coating coefficient, the average local coating coefficient and the speed coefficient in grinding of optical parts, and on theory of multibody kinematics, an algorithm for kinematic program control during the grinding process of optical parts has been developed at Hanoi University of Technology. Using this algorithm, the results of the improvement in the precision of processed surfaces of optical parts by grinding under kinematic program control have been obtained and will be presented in the present paper. 1. INTRODUCTION With the development of high precision mechanic and optical sectors, optical tools and devices have been playing an important role in many industrial fields. Key components in optical tools and devices are parts made by optical glasses, hereunder called as optical parts. Among processing methods, grinding is one of the most effective methods to achieve high precision, even though the facilities are not at the same level of precision. The problem to improve processed surface’s precision of optical parts by grinding is widely interested. It’s related to a lot of technological factors. The study on the influence of kinematics on precision of the processed part’s surface is one of effective methods by improving processed surface’s precision of optical parts. Study on kinematic program of processed optical parts is still limited [1, 2]. By applying kinematics of multibody systems [3, 4, 5, 6], the present paper’s authors established a kinematic program for processing optical parts on grinding equipment to improve processed surface’s precision of optical parts. Experiments were carried out on optical part grinding equipment with four - .

• Vật lý
• Vietnam Journal of Mechanics
• Duality in the analysis of responses to nonlinear systems
• The analysis of responses
• The original nonlinear systems
• The study of nonlinear mechanics
• Dang Dinh Ang
• Nonlinear analysis and mechanics
• Dynamic problems involving stationary cracks
• The Wiener Hopt technique
• Dual integral equations
• Dual integrals in non linear fracture mechanics
• Non linear fracture mechanics
• Energy release rate
• Discuss the obtained
• The alpha finite element method (αFEM)
• Solid mechanics using triangular and tetrahedral elements
• Suitable computational cost
• NS FEM makes
• The upper bound property
• Non linear constitutive problems in solid mechanics
• Non linear constitutive problems
• Languages Gibian and special operators
• The application FEM
• Betts miller janjic convective parameterization scheme
• H14 31 model to forecast heavy rainfall in Vietnam
• Betts Miller Janjic
• Three rain seasons
• Manufacturing dry mixed cement mortar
• High compressive strength
• High flexural strength
• Low shrinkage and high watertightness for restoration
• Damaged hydraulic structures in Vietnam
• Standard gradient models and crack simulation
• Standard gradient models
• The propagation of cracks
• Damage mechanics and crack simulation
• The interaction between two parametric excitations
• The second and third degrees
• The asymptotic method of nonlinear mechanics
• Dynamic system governed
• Comparison of two hydrological model simulations
• Nam and Xinanjiang for Nong Son catchment
• The Central Vietnam
• The runoff components
• 3 D numerical simulation
• The tidal circulation
• The gulf of Tonkin
• The kinetic energy distribution
• Aerodynamics of a wing in surface effect ship
• Theory and experiment
• Wing in surface effect ship
• The aerodynamic characteristics
• The Institute of Mechanics
• The error estimate
• The convergence rate for h
• p refinement
• The finite element analysis
• Three dimensional elastostatic mechanics problems
• Some initial experimental results
• Free water layer formation in horizontal pipes
• Water layer formation
• Hanoi Institute of Mechanics
• Bending vibration of beam elements under moving loads
• Considering vehicle braking forces
• Fluctuations of structures
• Beam elements according
• Continuous element for vibration analysis
• Thick shells of revolution
• Continous Element Method
• Finite element solutions
• Natural frequencies and harmonic responses
• Cast3m implementation of the extended finite element method
• The extended finite element method for cohesive crack
• Quasi brittle materia
• The proposed implementation
• The displacement discontinuities
• Buckling analysis of simply supported composite laminates subjected
• In plane compression load
• A novel mesh ffree method
• Alternative numerical technique
• Mesh free method
• A three story building
• Hedge algebras based fuzzy controller
• The structural system
• The El Centro earthquake
• Three story building against earthquake
• Laminar separation phenomenon combining with numerical calculations
• The turbulent separation
• The laminar separation
• Experimental study on mechanical properties
• Three phase polymer composite reinforced
• Glass fibers and titanium oxide particles
• Polymer composite reinforced
• Three phase composite
• Dynamic characteristics of elastically supported beam subjected
• A compressive axial force and a moving load
• The implicit Newmark method
• The Galerkin finite element method
• The axial force
• Eccentrically stiffened functionally graded plates and shallow shells
• Von Karman Donnell sense
• The formulation of governing equations
• The classical shell theory
• Mathematical modelling and control of the evolution
• Dynamic systems interacting with medium
• Mathematical modeling evolutional systems interacting
• Two conjugate mechanical subsystems
• Evaluating structural safety based on fuzzy set theory
• Evaluating structural safety
• The fuzzy reliability
• Simple beam structure