EIGENFUNCTIONS

作品数:75被引量:41H指数:3
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Closed form stress distribution in 2D elasticity for all boundary conditions被引量:1
《Applied Mathematics and Mechanics(English Edition)》2007年第12期1629-1642,共14页梁以德 郑建军 
the Research Grant Council of Hong Kong(No.CERG1157/06)
This paper applies a Hamiltonian method to study analytically the stress distributions of orthotropic two-dimensional elasticity in (x. z) plane for arbitrary boundary conditions without beam assumptions. It is a me...
关键词:transversely isotropy EIGENFUNCTIONS symplectic expansion 
Non-Linear Vibration of Rectangular Reticulated Shallow Shell Structures被引量:1
《Applied Mathematics and Mechanics(English Edition)》1994年第6期525-535,共11页聂国华 
This paper deals with non-linear vibration of rectangular reticulated shallow shells by applying non-linear elastic theory of such structures established by the author .Us-ing the assumed (generalized)Fourier series s...
关键词:rectangular reticulated shallow shells .non-linear. vibration. char-acteristic amplitude -frequency relation.beam vibration eigenfunctions 
MATRIX PERTURBATION METHOD FOR THE VIBRATION PROBLEM OF STRUCTURES WITH INTERVAL PARAMETERS
《Applied Mathematics and Mechanics(English Edition)》1994年第6期551-560,共10页邱志平 陈塑寰 刘中生 
When the parameters of structures are uncertain, the structural natural frequencies become uncertain. The interval parameters description, i.e. the unknown-but bounded parameters description is one of the methods to s...
关键词:Eigenvalues and eigenfunctions Matrix algebra Perturbation techniques Structural design 
UNSTEADY TRANSONIC AERODYNAMIC LOADINGS ON THE AIRFOIL CAUSED BY HEAVING, PITCHING OSCILLATIONS AND CONTROL SURFACE
《Applied Mathematics and Mechanics(English Edition)》1992年第9期805-813,共9页高正红 
An implicit upwind finite volume solver for the Euler equations using the improved flux - splitting method is established and used to calculate the transonic flow past the airfoils with heaving, pitching oscillations ...
关键词:Aerodynamic loads Eigenvalues and eigenfunctions Finite element method Mathematical models Mathematical transformations Matrix algebra Oscillations Transonic aerodynamics Unsteady flow 
LARGE AMPLITUDE VIBRATION OF THIN ANNULAR PLATES
《Applied Mathematics and Mechanics(English Edition)》1991年第6期583-593,共11页李东 
A pure analytic solution of the axisymmetric large amplitude free vibration of thin annualar plates is presented in this paper: By using the modified iteration method, we derive an analytic relation for the amplitudes...
关键词:Mathematical Techniques Eigenvalues and Eigenfunctions Vibrations Mathematical Models 
ON THE COMPUTATION OF THE MAIN EIGEN-PAIRS OF THE CONTINUOUS-TIME LINEAR QUADRATIC CONTROL PROBLEM被引量:2
《Applied Mathematics and Mechanics(English Edition)》1991年第1期49-54,共6页钟万勰 杨再石 
The degeneration of the eigenvalue equation of the discrete-time linear quadratic control problem to the continuous-time one when Δt&rarr0 is given first. When the continuous-time n-dimensional eigenvalue equation, w...
关键词:Mathematical Techniques Eigenvalues and Eigenfunctions 
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