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Showing 1 to 20 of 117 for “"Closed-form solution"”.

  1. Closed form solution of the wave equation for piles

    … wave equation is solved in a relatively simple closed form without recourse to numerical methods. A review of past efforts to solve the wave equation in closed form is included. Problems that appear in previous related works are discussed and derived again, including the Prescott-Laura problem …

    utc Repository record for Closed form solution of the wave equation for piles (opens in a new tab)

  2. Deriving a Closed-Form Solution for Over-Actuated Surface Vessels with Actuator Constraints

    … constraint violations. This thesis derives a closedform, limit-aware solution for a Unmanned Surface Vessel with two independent, steerable thrusters that achieves optimal accuracy with constant-time complexity. The proposed framework recasts allocation as an analytic inverse-kinematics …

    embry-riddle Repository record for Deriving a Closed-Form Solution for Over-Actuated Surface Vessels with Actuator Constraints (opens in a new tab)

  3. An experimental investigation of the harmonic excitation of simply supported plates with multiple surface-bonded piezoceramic actuators

    … of simply supported Euler plates is performed experimentally using arrays of piezoceramic patch pair actuators bonded to the plate surface. The experimental techniques used are presented, and the effects of patch location, relative actuator phasing, and excitation frequency on modal …

    vt Repository record for An experimental investigation of the harmonic excitation of simply supported plates with multiple surface-bonded piezoceramic actuators (opens in a new tab)

  4. Stability problems in constrained pendulum systems and time-delayed systems

    … linear state feedback control input. We seek a closed-form solution for the problem of determining the critical time delay for instability of the closed-loop system. Such a closed-form solution, which to the best of our knowledge is inexistent in the literature, offers an exact value for the …

    lsu-thes Repository record for Stability problems in constrained pendulum systems and time-delayed systems (opens in a new tab)

  5. Finite element analysis of multipass effects of vehicles on soil compaction

    … footing problem and comparing the results with closed form solution. The results of the finite element analysis agreed well with the closed form solution. The effects of soil type, wheel-soil contact area, and multiple wheel loading on soil compaction were analyzed. The results of the analyses …

    vt Repository record for Finite element analysis of multipass effects of vehicles on soil compaction (opens in a new tab)

  6. Failure Prediction of Adhesively Bonded Hardboard Doorskin Joints

    … hardboard. A finite element model as well as a closed form solution based on mechanics of materials were developed to analyze the stresses and deformations of the door skin/stile assembly so that stresses could be predicted for various stile widths and loading conditions. The wood members that …

    vt Repository record for Failure Prediction of Adhesively Bonded Hardboard Doorskin Joints (opens in a new tab)

  7. Multi-antenna relay network beamforming design for multiuser peer-to-peer communications.

    … protocol. Assuming distributed relay beamforming strategy, we investigate the design of each relay processing matrix to minimize the per-antenna relay power usage for given users’ Signal-to-Noise Ratio (SNR) targets. As the problem is NP-hard, we develop an approximate solution through the …

    uoit Repository record for Multi-antenna relay network beamforming design for multiuser peer-to-peer communications. (opens in a new tab)

  8. Topics in imbalanced data classification : AdaBoost and Bayesian relevance vector machine

    … (AdaBoost) algorithm. AdaBoost is an effective solution for classification, but it still needs improvement in the imbalanced data problem. This part proposes a method to improve the AdaBoost algorithm using the new weighted vote parameters for the weak classifiers. Our proposed weighted vote …

    missouri Repository record for Topics in imbalanced data classification : AdaBoost and Bayesian relevance vector machine (opens in a new tab)

  9. Effects of Surface Microstructure on the Strength of Adhesively Bonded Structures

    … extracted from the debond length by developing a closed-form solution for the specimen geometry based on a ""beam on an elastic foundation"" model. The experimental observations established a direct relationship between the surface roughness of aluminum substrates and the fracture resistance of …

    uiuc Repository record for Effects of Surface Microstructure on the Strength of Adhesively Bonded Structures (opens in a new tab)

  10. Extraction of eigen-pairs from beam structures using an exact element based on a continuum formulation and the finite element method

    … An exact beam-element dynamic-stiffness formulation is presented for a plane Timoshenko beam with rotatory inertia. This formulation is based on a converted continuum transfer matrix and is incorporated into a typical finite element program for eigenvalue/vector problems. Hybrid models …

    vt Repository record for Extraction of eigen-pairs from beam structures using an exact element based on a continuum formulation and the finite element method (opens in a new tab)

  11. Implementing short-rate models with jumps at deterministic times

    … with different types of jump distributions. A closed-form solution for bond prices, when the jumps are normally distributed, is available in the literature, but not for other jump distributions. The Monte Carlo method is used to compare the finite-difference calculations for these cases. An …

    cape-town Repository record for Implementing short-rate models with jumps at deterministic times (opens in a new tab)

  12. Planar detection using modified expectation maximization

    … of the EM algorithm equations proves that a closed form solution to the maximization step is impractical which leads to the proposal of a Modified Expectation Maximization (MEM) algorithm. The MEM algorithm presented replaces the traditional maximization step with an optimization based …

    missouri Repository record for Planar detection using modified expectation maximization (opens in a new tab)

  13. Analytical and experimental study of FRP honeycomb sandwich panels with sinusoidal core

    … face laminates. To verify the accuracy of the a closed-form solution, several honeycomb sandwich beams with sinusoidal core waves either in the longitudinal or transverse directions are tested in bending and torsion. Also, a deck panel is tested under both symmetric and asymmetric patch loading. …

    wvu Repository record for Analytical and experimental study of FRP honeycomb sandwich panels with sinusoidal core (opens in a new tab)

  14. The SIR Model When S(t) is a Multi-Exponential Function.

    … In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume <em>S</em>(<em>t</em>) is a finite multi-exponential, i.e. function of the form <em>S</em>(<em>t</em>) = <em>a</em>+ ∑<sup><em>n</em></sup><sub><em>k</em>=1</sub> …

    etsu Repository record for The SIR Model When S(t) is a Multi-Exponential Function. (opens in a new tab)

  15. Domínios de estabilidade assintótica: sua determinação utilizando o segundo Método de Liapunov

    … domains of asyntotical stability of the trivial solution of first-order, non-linear, differential equations when Liapnov's second (direct) method is used. The first three chapters are introductory and present an historical review, the use of quadratic forms as Liapunov's functions, and a physical …

    brazil-uerj Repository record for Domínios de estabilidade assintótica: sua determinação utilizando o segundo Método de Liapunov (opens in a new tab)

  16. Mixed Monte Carlo in the foreign exchange market

    … at the price, provided there does not exist a closed form solution for the price. One propagates the FX spot rate through time under risk-neutral dynamics to realise the before-mentioned payoffs. A drawback to Monte Carlo becomes evident when the model dynamics become more complicated, such as …

    cape-town Repository record for Mixed Monte Carlo in the foreign exchange market (opens in a new tab)

  17. Analytical Solution of the Characteristic Function in the Trolle-Schwartz Model

    … as stochastic volatility. They derived pricing formulae in order to price bonds and bond options, which can be altered to price interest rate options such as caplets, caps and swaptions. These formulae involve implementing numerical methods for solving an ordinary differential equation (ODE). …

    cape-town Repository record for Analytical Solution of the Characteristic Function in the Trolle-Schwartz Model (opens in a new tab)

  18. Design of a hydraulic bulge test apparatus

    … bulge test was identified as the most economical solution. The equipment was designed to accommodate material strength of up to 1000MPa with plate thickness between 1.0mm and 1.8mm. The design process is explained in detail with focus on the challenges faced. The closed-form solution for the …

    mit Repository record for Design of a hydraulic bulge test apparatus (opens in a new tab)

  19. An approximate dynamic programming approach to risk sensitive control of execution costs

    … and linear market dynamics, we derive a closed form solution for optimal trading trajectories. We show that a trader lacking private information has trajectories which are static in nature, whilst a trader with private information requires real time observations to execute optimally. We …

    mit Repository record for An approximate dynamic programming approach to risk sensitive control of execution costs (opens in a new tab)

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