superposition theory
1.The formula of the sound field separation technique based on measurement of the three-dimensional acoustic intensity with single holographic plane was established according to the superposition theory of particle velocity and the Euler equation in wave number domain, and the acoustic pressure caused by the sound sources on one side of holographic plane was also obtained.
2.The quantitative relationship between the Electron Paramagnetic Resonance(EPR)parameters $(D, g-∥, g-⊥)$ and the local structure parameters of Ni+{2+} in Al-2O-3∶Ni+{2+} crystal is established according to the superposition model and perturbation theory.
3.In this paper, based on hypothesis that the Poisson ratio is constant, a problem of nonlinear dynamic bending for isotropic linear viscoelastic laminated plates is formulated, and a set of equations for the problem is established through Boltzmann superposition principle in linear viscoelastic theory, nonlinear geometrical equations and Karman equations.
4.The relationship between the EPR parameters and the crystal structure parameters in LiTaO 3∶Cr 3+ are established according to the Newman superposition model and the spin-Hamilton theory.
5.Under the assumption that the Poisson ratio μ is constant and based on the Boltzmann superposition principle, geometric nonlinear equations and the Karman theory, a set of nonlinear dynamic equations for linear viscoelastic thin plates with relaxation clamp is derived. The equations obtained are solved by adopting Galerkin method, and the numeric results of dynamic responses for linear viscoelastic thin plates with relaxation clamp are given.
6.Using the first order shear deformation theory, Boltzmann superposition principle and Galerkin technique, the nonlinear equations of antisymmetric cross-ply viscoelastic laminated plates with damage are derived.
7.This paper presents a new method with driver transformation for the kinematic analysis of the planar mechanisms in high class, based on the Assur group theory and kinematic superposition principle.
8.By using the Von Karman thin plate theory and Boltzmann superposition principle, the nonlinear equations of viscoelastic thin plate with damage are derived and denoted by the mid-plane displacements.
9.The main results contain as follows:Based on the viscoelastic theory and the continuum damage mechanics, and according to the Boltzmann superposition principle and strain energy equivalence, a constitutive model is established for viscoelastic composites with orthotropic damage.
10.Based on the Timoshenko-Midlin theory and Boltzmann superposition principle, the nonlinear creepdamage equilibrium equations of Orthogonality laminated cylindrical panels with initial imperfection are established and solved by the finite difference and iterative method.
