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Closed-form solutions for modelling the rotational stiffness of continuous and discontinuous compliant interfaces in two-layer Timoshenko beams
An analytical model for a two-layer Timoshenko beam with a compliant interface is presented. A family of closed-form solutions is given for several...
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Closed-Form Solutions for the Equations of Motion of the Heavy Symmetrical Top with One Point Fixed
The equations of motion (EOM) for the heavy symmetrical top with one point fixed are highly nonlinear. The literature describes the numerical methods...
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Closed-Form Solutions of Stress Intensity Factors for Semi-elliptical Surface Cracks in a Cylindrical Bar Under Pure Tension
In this work, the stress intensity factors (SIFs) for a wide range of semi-elliptical surface cracks with different inclination angles in a...
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Novel closed-form expressions for potential energy estimation in 3D frame structures
In contrast to the kinetic energy, which can be easily estimated using measurements of the velocities at certain points in a frame structure, the...
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Closed-form Analysis of RZF in Multicell Massive MIMO Over Correlated Rician Channel
Correlation exists in all practical channels, and each channel’s correlation level varies. Determining correlation matrices while estimating the...
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Closed-form solutions for wave-induced poroelastic response in seabed under dynamic and quasi-static regimes
The mechanical response of submarine masses under the action of sea wave loads is studied in this work. The saturated deposit below the seabed is...
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Enhancing seismic resilience of structures through optimally designed nonlinear negative stiffness base isolators: Exact closed-form expressions
The article introduces the nonlinear negative stiffness base isolators (NNBI). These isolators are used to reduce the dynamic responses of single...
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Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis
In this paper, the governing differential equation of a beam with axial force is studied using the Lie symmetry method. Considering the inhomogeneous...
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Voltage correction by a closed-form bus power factor tuning approach using non-orthogonal inverter current generation from STATCOM
The power system outlook has been going through a swift transition with the growing demand and expansion of infrastructure making the overall system...
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A Conceptual and Straightforward Approach for Solving the Closed-form Direct Kinematics of a General Coplanar 6-
P US Parallel ManipulatorThe proper synthesis of simulators is critical as they allow trainees to experience dangerous maneuvers. The most widely used simulator is the...
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Numerical Solutions Using MATLAB
Much of our discussions in the previous chapters have revolved around deriving a differential equation that models heat transfer in a domain and...
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A closed-form solution for the failure interaction diagrams of pile groups subjected to inclined eccentric load
The work at hand proposes a method for assessing, under reasonable hypotheses from an engineering perspective, the failure envelope of a pile group...
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Determining Equations Governing Multibody Dynamic Systems Through Joint Kinematics and Kinematic Chain Effects in Closed-Form Mechanisms
In this study, the governing equations of dynamic systems were derived using a novel method that integrated the kinematic properties of joints and...
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A Numerical and Closed-Form Analytical Solution of the Global Buckling Critical Load of Tall Buildings Including Soil Flexibility: Timoshenko Beam
PurposeThe global buckling critical load ratio is a paramount parameter dictating the overall performance of tall buildings, yet its exploration has...
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A closed-form pricing formula for variance swaps under a stochastic volatility model with a stochastic mean-reversion level
In this paper, we consider the valuation of variance swaps under a modified Heston model with a stochastic mean-reversion level, as a time-dependent...
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Optimal Positioning of Mobile Manipulators Using Closed Form Inverse Kinematics
Mobile manipulators have recently been subject to studies and researches thanks to their augmented mobility and interaction capability. In the...
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The closed-form solutions for buckling and postbuckling behaviour of anisotropic shear deformable laminated doubly-curved shells by matching method with the boundary layer of shell buckling
Based on a boundary layer theory of shell buckling, the semi-analytical solutions for nonlinear stability analysis of anisotropic laminated composite...
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An Efficient Approach to Initialization of Visual-Inertial Navigation System using Closed-Form Solution for Autonomous Robots
The visual-inertial navigation system using a single camera and IMU requires an accurate initialization without increasing the processing cost and...
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Closed-Form Solution for Interfacially Cracked Layered Beams with Bending–Extension Coupling and Hygrothermal Stresses
This chapter further investigates the problem of the mechanical behavior of an interfacially cracked layered beamBeam with possible BEC and...
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Novel Pseudo-dynamic Closed-Form Solution for Individual Nail Force in Nailed Vertical Cut
A vertical cut reinforced with inclined nails subjected to sinusoidal seismic loading at the base was analyzed using the modified pseudo-dynamic...
