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Closed-Form Solutions for Single-Axis Slew Maneuvers Under a Fixed Final Time Constraint
This paper addresses a single-axis rotation problem in diverse space applications. In the problem, spin-to-spin boundary conditions, a finite jerk...
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Closed-form solutions for two-layer Timoshenko beams with interlayer slip, uplift and rotation compliance
An analytical model for a two-layer Timoshenko beam allowing for interlayer slip, uplift, and relative rotations of the layers’ cross-sections...
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New closed-form solutions for flexural vibration and eigen-buckling of nanoplates based on the nonlocal theory of elasticity
This paper investigates the size-dependent vibration and buckling behavior of nanoplates described by the nonlocal Kirchhoff model analytically. The...
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Closed-form solutions of consistency ratio in best worst method minmax optimization model: max of edge error matrix and minmax edge error determinant methods
The Best Worst Method (BWM), a reduced version of the AHP, is a recent multi-criteria decision-making tool based on pairwise comparisons with...
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Linear Systems Under Gaussian White Noise Excitation: Exact Closed-Form Solutions
In Chap. 3 , the Wiener path integral formulation developed in Chap. 2 for...
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Approximate closed-form solutions for vibration of nano-beams of local/non-local mixture
This paper presents an approach to natural vibration of nano-beams by a linear elastic constitutive law based on a mixture of local and non-local...
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An Approximate Closed-Form Solution for Mass Transfer Flow Due to a Rotating Rough and Porous Disk
It is often difficult to obtain exact solutions of nonlinear differential equations and one looks for their approximate solutions. These approximate...
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Closed-Form Time-Domain Solutions of Arbitrary-DOF Forced Vibrations and of Surface Location Error for General-Helix Cylindrical Milling Tools
BackgroundPeriodic cutting forces are inevitably generated during milling processes and the associated forced vibrations leave behind an imprint...
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Closed-form continuous-time neural networks
Continuous-time neural networks are a class of machine learning systems that can tackle representation learning on spatiotemporal decision-making...
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Closed-Form Wave Dispersion Relationships for Ordinary State-Based Peridynamics
Peridynamics (PD) is a new continuum mechanics formulation introduced to overcome limitations of classical continuum mechanics (CCM). This is mainly...
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Thermoelastic closed-form solutions of FGM plates subjected to temperature change in longitudinal and thickness directions
An closed-form solution of simply supported FGM plates under thermal loads is developed based on medium-thick plate assumption. Further to assume...
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The Optimum Enhanced Base Isolators Applied to MDOF Systems: Exact Closed-Form Expressions
PurposeThe dynamic response reduction capacities of conventional base isolators applied to multi degrees of freedom systems can be increased by...
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Model Transformation Based Closed-Form IA Design for Multiple-Cell MIMO Cellular Networks
To apply the interference alignment (IA) technology to practical communication networks effectively, the low complexity IA design problem still needs...
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A Closed-Form Solution of the Smoke Filling Time and Descent History in Enclosure Growing Fires with Floor Leaks
For the smoke filling time or smoke descent history in enclosure fires with floor leaks, the existing close-formed solutions are all based on the...
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Optimum pattern of grounding grid by using closed-form solution based on optimized results
Finding the optimum conductor’s pattern for unequally spaced grounding grids can be achieved by using empirical formulas or optimization techniques....
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Non-linear analysis of rectangular cross-sections with different reinforcements: dimensionless closed form solution
This paper presents an algorithm to solve a non-linear rectangular cross-section analysis by means of closed form equations. The equations are...
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General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of exponential model
The inverse kinematics problems of robots are usually decomposed into several Paden—Kahan subproblems based on the product of exponential model....
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Closed-Form Solution for a Circular Nanohole with Surface Effects Under Uniform Heat Flux
This paper investigates the steady-state thermoelastic problem of a circular nanohole embedded in an infinitely large elastic plane subjected to a...
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Identification of Bimodular Material Parameters via a Semi-Closed Form Solution of the Brazilian Test
BackgroundDigital Image Correlation (DIC) is an advanced measurement technique capable of capturing full-field surface displacements in a...
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An efficient closed-form solution for springback prediction and compensation in elastic–plastic creep age forming
Accurately predicting the amount of springback has always been a prior focus in metal forming industry, particularly for creep age forming (CAF), for...
