TAILIEUCHUNG - Reduced impedance of branch component with hyperstatic interface

This paper has its genesis in an early study [3] in which reduced impedance of a statically determinate branch component was found by using component mqdes. It is intended to apply the method to the case of hyperstatic interface. | Journal of Mechanics, NCNST of Vietnam T. XIX, 1997, No 1 (42- 47) REDUCED IMPEDANCE OF BRANCH COMPONENT WITH HYPERSTATIC INTERFACE NGUYEN THAC Si Hanoi University of Mining and Geology 1. Introduction An analytical technique proposed by Berman [1] allows an exact representation of a branch component within the model of the main structure by considering the impedance matrix of the component and its inverse. a This paper has its genesis in an early study [3] in which reduced impedance of statically determinate branch component was found by using component mqdes. It is intended to apply the method to the case of hyperstatic interface. 2. Definition Consider a structural system composed of the main component "M" and a branch component "k?' as illustrated in . "k" f It is convenient to rearrange and partition the elements of the two impedance matrices in the following way: z;,] zk , ee where f refers to interface coordinates and i. to non-interface coordinates. The impedance of the system, then, may be forined by superimposing these matrices in the form: z7,]. z;, If a valid model of component "k" could be formed using only the interface coordinates, the impedance of the system could be written as Z, = [Zee z,, z,,z,,+ z,, l , "k 42 where ZJ1 is called reduced impedance of component "k". 3. Reduced Impedance Consider a branch component the interface of which is assumed hyperstatic. Its ·displacement may be expressed by the vector q(t) = [ :~ J U:J () = in which qr are rigid-body displacement on the connection interface and qc the remainder of displacements on the connection interface·. The equation of motion of the component is Mij+Kq=F, () where the mass, stiffness and force matrices are F=[~]· The displacement of any point is found by superimposing the motion excited by the main component through the interface and the elastic motion relative to the latter, so that ()

• Vật lý
• Journal of Mechanics
• Reduced impedance of branch component with hyperstatic interface
• Reduced impedance of branch component
• The case of hyperstatic interface
• Statically determinate branch component
• Vietnam Journal of 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
• The cohesive crack growth in concrete beams in bending
• by Fracture mechanics and the finite element method
• The construction of the program CGPTROl
• Investigate two dimensional models
• Journal of technology and science education
• Self assessment exercises in continuum mechanics with autonomous learning
• Self assessment exercises in continuum mechanics
• Self assessment exercises
• Practice GRAPAU of the RIMA Project
• 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
• Flight mechanics experiment onboard nasa’s zero gravity aircraft
• Method to promote STEM
• Microgravity programs with NASA
• Hands on experimental design
• Reduced gravity program with NASA
• Methodology for developing teaching activities and materials
• Developing teaching activities and materials
• Fluid mechanics courses
• Undergraduate engineering programs
• Duality in the analysis of responses to nonlinear systems
• The analysis of responses
• The original nonlinear systems
• The study of nonlinear mechanics
• 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