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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 57 for “"conformal mapping"”.
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Theoretical and numerical analysis of conformal mapping
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1981.
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Use of conformal mapping in measures of approximation
… basic theorems concerning both approximation and conformal mapping are given. In Chapter II properties of conformal mappings are established. The theorems discussed lead to a statement of necessary and sufficient conditions for a mapping of a simply connected region onto the interior of the unit …
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Viscous airfoil optimization using conformal mapping coefficients as design variables
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1991.
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A Numerical Conformal Mapping Method and the Poisson Equation on Irregular Domains
In this thesis, we propose a numerical conformal mapping procedure for constructing the unique transformation that maps a unit disk onto a simply connected irregular region. All the systems of linear equations that arise in formulating the method, are solved using Rapid Elliptic Solvers. Therefore, …
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A Computer Method for the Approximate Solution of Two-Dimensional Elastostatic Problems by Conformal Mapping
Made available in DSpace on 2014-12-04T23:11:03Z (GMT). No. of bitstreams: 1 6104346.pdf: 2419904 bytes, checksum: 7654af395ca2b806fafad6a17b4dac09 (MD5) Previous issue date: 1961
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A Method of Conformal Mapping and the Determination of Stresses in Solid-Propellant Rocket Grains
Made available in DSpace on 2014-12-04T23:11:08Z (GMT). No. of bitstreams: 1 6305160.pdf: 4196593 bytes, checksum: 6907abf19013d776f57d219be8689bba (MD5) Previous issue date: 1963
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Electrical Properties of Macro-Fiber Composite Actuators and Sensors
… of the MFC. Implementing the techniques of conformal mapping, a branch of complex analysis, the following chapters derive a closed-form, exact analytical solution describing the electrical potential field and electrical field of the MFC's dual-IDE structure. Based on the conformal mapping …
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Equilibrium analysis of topological interlocking for structural assemblies
… The thesis also briefly introduces a mapping strategy based on conformal mapping on NURBS surface to design freeform topological structural assemblies.
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Model to Evaluate the Aerodynamic Energy Requirements of Active Materials in Morphing Wings
… aerodynamic forces using a unique combination of conformal mapping and the vortex panel method, computes the longitudinal motion of the simulated aircraft, and closes the loop with a zero-error control law. The aerodynamic force prediction method has been verified against two more expensive codes. …
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Η ΕΦΑΡΜΟΓΗ ΤΗΣ ΣΥΜΜΟΡΦΟΥ ΑΠΕΙΚΟΝΙΣΕΩΣ ΣΤΑ ΠΕΠΕΡΑΣΜΕΝΑ ΣΤΟΙΧΕΙΑ ΓΙΑ ΤΗΝ ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΡΩΓΜΩΝ
USING A CONFORMAL MAPPING, THE SINGULAR STRESS FIELD AROUND CRACK TIPS IS TRANSFORMED TO A REGULAR ONE WITH RESPECT TO THE NEW VARIABLES. THUS, THE DISPLACEMENT FIELD IS APPROXIMATED IN THE MAPPED PLANE. THE INVERSE MAPPING GIVES SHAPE FUNCTIONS WHICH ARE NOT POLYNOMIALS. THE STRAIN FIELD, OBTAINED …
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A mechanical analogy and graphical method for explaining negative transconductance in crossed electrostatic and magnetic fields
… study is the first method, other than that of conformal mapping, which enables one to plot the path of electrons in crossed fields, and the first attempt to apply a mechanical analogy to such fields in vacuum tubes consisting of more than two elements.
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Regularity of Neumann solutions to an elliptic free boundary problem
… The proof in dimension 2 is by means of conformal mapping as well as a simplified monotonicity formula. In higher dimensions, the proof is via a maximum principle estimate for ...
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Sound scattering by cylinders of noncircular cross section
… frequency range. This new method requires the conformal mapping of both the exterior and interior of a closed surface to a semi-infinite strip. Numerically efficient algorithms wi ll be presented for both of these cases. A new method for satisfying the boundary conditions will be developed, as …
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Prescribing Dilatations in Space
… the transformation matrix A = UDVT of an affine mapping in R3 . Let B = ATA = VD2VT = [ bij]. Define the dilatation m&ar; as m&ar;=1M b11b22-b2 12 b11b33-b2 13 b22b33-b2 23 , where M2 = b 11b22 -- b212 + b11b33 -- b213 + b22b33 -- b223 + lambda (det B)⅔ and lambda is a fixed positive …
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System-level design, simulation and measurement for high-speed data links
… are discussed and studied, using both conformal mapping and the variational method in closed-form solutions, with examples provided to study the frequency-dependent channel effects in high-speed digital systems. Detailed processes along with examples are presented at the end to …
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Stress distribution around holes in laminated composite plates
… is used to solve the governing equations. Using conformal mapping and boundary form perturbation techniques, the circular hole solution has been extended to the solution of the curvilinear hole case. These analytical solutions are compared with the solution obtained from a 72 DOF finite element …
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