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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 76 for “"PERTURBATION METHOD"”.
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Singular Perturbation Method in the Theory of Optimal Control
Made available in DSpace on 2014-12-08T22:24:29Z (GMT). No. of bitstreams: 1 6901435.pdf: 2092990 bytes, checksum: ce37069a88f550fc65631d29ac157f7a (MD5) Previous issue date: 1968
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Multi-Scale Localized Perturbation Method for Geophysical Fluid Flows
… system, called the multi-scale localized perturbation method, is introduced and derived for the purpose of solving complex geophysical flow problems. Simulation variables are decomposed into background and perturbation components, then assumptions are made about the evolution of these …
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Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are …
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The nonlinear evolution of secondary instabilities in boundary layers
… of the primary and secondary instabilities. A perturbation method is used to solve for the primary wave, in the absence of any secondary disturbances. Once the wave is calculated, it is decomposed into a basic flow portion and an interaction portion. The basic flow portion acts as a parametric …
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An investigation of the effects of curvatures on natural vibration characteristics of curved beams and plates
… are mostly investigated through the numerical method. In the numerical model, the curved beam or plate is easily simulated by assembled elements. Although the approximate solution can be obtained, numerical results are inadequate to demonstrate the effect of the curvature on the whole system. …
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A Dynamical Study of the Evolution of Pressure Waves Propagating through a Semi-Infinite Region of Homogeneous Gas Combustion Subject to a Time-Harmonic Signal at the Boundary
… Steady-state behavior is investigated using the perturbation method to ensure that enough time has passed for any transient effects to have dissipated. The zeroth, first and second-order perturbation solutions are obtained and their moduli are plotted against frequency. It is seen that the first …
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Ab initio Hartree-Fock and many body perturbation theory calculation of the energies of the excited states of some materials
… Hartree-Fock technique augmented by many body perturbation theory techniques and symmetry projection methods in the study of the energies of the excited states of atomic, molecular and solid state systems is investigated. A perturbation method for finding relativistic corrections to the energy …
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Robust low-order control of flexible joint manipulators
… manipulator model is linearized via the perturbation method about an unstable operating point. Some nonlinear terms are treated as an external disturbance, and parametric uncertainty is represented as the structured uncertainty of the nominal plant. The $H\sb{\infty}$-norm approach is …
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Particle Spreading in a Simple Majda Flow and Eigenvalue Estimation Through a Cayley Transform
… distribution of the random variable. We consider methods for producing estimates of the eigenvalues of such operators. If such an operator can be written in the form H0 + H1 with H 1 relatively compact to H0, then the eigenvalues are asymptotically close to those of H0. This method does not, …
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On the Theory of Stress-Assisted Diffusion
… For general stress distributions a perturbation method is employed to produce transient solutions. Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems …
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Second-Order Relative Motion Equations
… in state variables are kept in the expansion. A perturbation method is employed to obtain an approximate solution of the resulting nonlinear differential equations. This new solution is compared with the previously known solution of the linear case to show improvement, and with numerical …
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Kinetic theory of piston problem and thermal disturbance by the ellipsoidal statistical model
… gas has been solved numerically. Also, the perturbation method proposed by Chu is also applied. Velocity, density, temperature and pressure distributions have been calculated at each time step for various piston speeds for the piston problem. A comparison between the Bhatnager-Gross-Krook …
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Micro-operation perturbations in chip level fault modeling
… to answer is: What is the best micro-operation perturbation for modeling fault at the chip level? In this thesis, an automatic evaluation system is developed to determine the best micro-operation perturbation. The measure used is the gate level stuck-at fault coverage achieved by the tests …
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Efficient methods for integrated structural-aerodynamic wing optimum design
… structural-aerodynamic design. First efficient methods for the calculations of the derivatives of the flexibility matrix and the aerodynamic influence coefficient matrix are developed. An adjoint method is used for the flexibility sensitivity, and a perturbation method is used for the …
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Stochastic finite element analyses of uncertain nonlinear plane trusses under random excitations
A method of stochastic finite element analysis is developed in this study to solve for the response statistics and reliability of nonlinear truss structures with uncertain system parameters under random excitations. Emphasis is on structural nonlinear behavior due to both large deflection and …
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Control of Periodic Systems Governed by Partial Differential Equations Using Averaging
As a perturbation method, averaging is a mathematical tool for dynamic analysis of time-periodic and space-periodic dynamical systems, including those governed by partial differential equations. The control design procedure presented in this work uses averaging techniques, the well-developed linear …
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Nonlinear oscillation and control in the BZ chemical reaction.
… estimated. By applying the geometric singular perturbation method, it was proved that there exist an oscillation axis in the oscillation zone, a strongly stable two-dimensional invariant manifold in transition zone, on which there is also a one-dimensional stable invariant manifold, which is …
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Sensitivity and uncertainty analysis in hydrological modeling: a case study of South Chickamauga Creek watershed using BASINS/HSPF
… analysis using the one-at-a-time (OAT) perturbation method revealed that watershed hydrology was highly sensitive to evapotranspiration and groundwater-related parameters. Uncertainty analysis with Monte Carlo and Latin Hypercube parameter sampling demonstrated the highest uncertainty in …
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Heat capacity of dilute solutions of liquid He[superscript 3] in He[superscript 4] at low temperatures
… of the Landau theory of a Fermi liquid. The perturbation method, which Bardeen, Baym j and Pines used to determine an,effective potential v(q) between He 3 quasiparticles from later data on the magnetic properties of these solutions, was used to estimate the low temperature contribution of …
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Dynamics and control of spacecraft with retargeting flexible antennas
… during a specified time period by applying a perturbation method to the Riccati equation obtained for Pl control. According to the the proposed perturbation method, the control gains consist of zero-order time-invariant gains obtained from the solution of the matrix algebraic Riccati equation …
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