analytical closed-form solution
Closed-form analytical solution procedure for element design in D regions
... explicit closed-form relations without the need to incrementally increase the applied ...The solution procedure is based on a secant modulus approach and is developed initially on the basis that the ...
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A CLASS OF SYNCHRONIZED NONLINEAR TWO-DOF SYSTEMS WITH CLOSED FORM SOLUTION
... exact closed- form solutions is ...exact analytical solution, consisting of two synchronized colliding mass-spring-dashpot systems, is introduced, and the validity of the exact solutions is ...
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A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic Field Expressions and the Emergence of the Surface Waves
... Sommerfeld solution to this problem is provided in the physical space by using the “Hertz potentials” and it does not end up with closed form analytical ...
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Closed Form Solution for Heston PDE By Geometrical Transformations
... alternative solution writeable in closed form of the Heston’s PDE, for which the solution is known in literature, up to an inverse Fourier ...an analytical formula to compute the prices ...
15
Closed form solution for p-curves in SO(4)
... a closed form solution to the fully assessable and controllable 6 dimensional ...final solution was checked against the original problem ...the analytical solution can be ...
7
Closed form solution of a general three term recurrence relation
... First, the recurrence relation Eq. () corresponds to the finite difference equation for the general second order differential equation with unknown function f (x) and arbitrary given U(x), namely: f – U(x) · f = . ...
12
Closed-form solution for peak crushing force of the S-rails
... the analytical solution of crushing resistance of thin- walled S-shape frames with rectangular cross-section and compared the results with those of numerical ...experimental, analytical and numerical ...
11
Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model
... partially analytical derivations of corresponding equations of motion, which, according to them, is useful for studying how input parameters influence the ...
11
An improved closed-form solution for the constrained minimization of the root of a quadratic functional
... The work in this paper can be extended in several directions in future. The optimization problem was set out in a generic way, but applications in specific problems can yield further problems of interest. For example, ...
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On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
... an analytical approach and not with the usual induction ...the closed-form solution of the given difference ...the solution form of the nonlinear difference ...
13
Approximate closed-form solution for solar sail spiral trajectories with sail degradation
... approximate closed-form analytical solution found, assuming a quasi-circular spiral with a fixed sail pitch ...The solution found provides the time evolution of the solar sail orbit ...
18
Closed-Form Analytical Equations to Transient Analysis of Bang-Bang Phase-Locked Loops
... the oscillatory transient and after the locking point, the final value does not change, (see Fig.4). So we consider a damping oscillatory waveform as (13) to model the output excess phase. Equation (13) is the key ...
7
DISPLACEMENT AND STRESS FIELDS IN A POROELASTIC HALF-SPACE DUE TO A CONCENTRATED FORCE
... the closed-form analytical expressions for the displacements and stresses due to a concentrated force acting at an arbitrary point of a poroelastic half-space using Galerkin vector ...this ...
10
A CLOSED FORM SOLUTION FOR FREE VIBRATION ANALYSIS OF TUBE-IN-TUBE SYSTEMS IN TALL BUILDINGS
... The analytical techniques based on continuum modeling can clearly reveal the static and dynamic characteristics of tall building ...if analytical methods are utilized. The advantages of both ...
8
Buckling and Post-buckling Analysis of FG-CNTRC Beams: An Exact Closed Form Solution
... utilizing analytical methods and exact closed form solutions for buckling buckling loads of functionally graded carbon nanotube-reinforced composite CNTRC) beam with different boundary conditions are ...
9
Development of Closed-Form Solution for a Multi-Layered Composite Stack Subjected to Thermal Loads
... by analytical method when compared to finite element ...approximated analytical formulae derived using classical plate theory for a cantilever beam type composite laminate structure with orthotropic ...
7
A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... exact solution is so hard or ...the analytical solution for differential equation there exist different ...the solution in closed form using familiar analytical methods, ...
6
THE SPECIAL TRANS FUNCTIONS THEORY FOR THE DEGREE OF NUCLEAR FUEL BURN-UP ESTIMATION
... exact analytical closed-form ...the closed-form solution genesis in: the theory of neutron slowing down [[6],[7],[16]], the nonlinear circuit theory [[8],[16],[22]], the linear ...
6
Two-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
... models, analytical models or both. Numerical and analytical solutions have its own limitation although these solutions are very much relevant for predicting contaminant concentration ...behaviour. ...
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Closed form transient solution of continuous time Markov chains through uniformization
... stationary solution of a Markov chain is easier to compute than the transient solution, and it is enough in many ...transient solution of Markov ...
10