Showing papers in "Applied Mathematical Modelling in 2020"

TL;DR: In this paper, the authors have carried out numerical simulations of a tip leakage cavitating flow, generated by a straight NACA0009 hydrofoil, using Lagrangian coherent structures (LCSs) combined with Schnerr-Sauer cavitation model.

TL;DR: This work compares the strengths and weaknesses of multiple linear regression (MLR), k-nearest neighbors (KNN), support vector regression (SVR), Cubist, random forest (RF), and artificial neural networks (ANN) for DSM.

TL;DR: In this paper, the effect of the magnetic field on the melting behavior of phase change materials was investigated by the Hartmann number (0 ≤ Ha ≤ 50) and the location of a magnetic source (0≤Y0 ≤ 1).

TL;DR: The N_Verhulst model has a better structure and stronger modeling ability and overcomes the shortcomings of the traditional VerhULst model including parameter dislocation and unreasonable selection of initial values.

TL;DR: The comparison results show that SOC estimation error of the proposed algorithm is within the range of ±0.01 under most test conditions, and it can automatically correct SOC to true value in the presence of system errors.

TL;DR: Experimental results reveal that the proposed chaos-enhanced bat algorithm is not only superior to the well-established algorithms such as the original method but also the latest improved approaches and can deal with unconstrained and constrained feature spaces, effectively.

TL;DR: This work proposes a real-time estimation error-guided sampling method for time-dependent reliability analysis using surrogate model, where the maximum error is used to guide when to stop the refinement of Kriging model.

TL;DR: In this article, an approximate Hamilton principle is established for the transverse vibration of a reinforced concrete pillar by considering the dissipation energy, and a generalized Boussinesq equation is obtained.

TL;DR: A car-following inertial gray model based on the information difference of the differential and gray system, in combination with the mechanical characteristics of traffic flow data and the characteristics of an inertial model is proposed.

TL;DR: A mathematical formulation and a heuristic solution approach for the optimal planning of delivery routes in a multi-modal system combining truck and Unmanned Aerial Vehicle (UAV) operations and suggests significant reductions in customer waiting time to be gained from the proposed multi- modal delivery model.

TL;DR: A two-stage stochastic degradation model of the degradation mechanisms of complex systems with multiple performance characteristics is developed and explicit expressions of the system reliability and availabilities are given based on different inspection and maintenance policies.

TL;DR: An improved carbon price analysis and forecasting system that consists of an analysis module and a forecasting module that achieves better results than other benchmark models in point forecasting as well as interval forecasting is established.

TL;DR: In this paper, different homogenization schemes are employed to analyze both size-dependent postbuckling and nonlinear bending behavior of micro/nano-beams, made of a bi-directional functionally graded material (BDFGM), under external axial compression and distributed load.

TL;DR: A multivariate nonlinear grey model based on the kernel method to improve the accuracy of traffic-related emissions prediction by solving a convex optimization problem instead of using an ordinary least squares estimation, overcame the limitations of the classic grey forecasting models.

TL;DR: An improved teaching learning-based optimization algorithm using adaptive exponential distribution inertia weight and altering the position-updating equation is proposed to generate a uniformly distributed population to enhance the quality of the initial populations.

TL;DR: In this article, a new framework for solving 3D time fractional diffusion equation with variable-order derivatives is presented, which is truly meshless and can be used to solve problems defined on an arbitrary domain in 3D.

TL;DR: Wang et al. as discussed by the authors proposed a data-driven exponential convex model to achieve accurate approximation for experiment data, in which the dimension reduction minimum volume method plays the key role.

TL;DR: In this article, the authors investigated the natural gas consumption of the United States, Germany, the United Kingdom, China, and Japan by a new Grey Bernoulli model and derived analytical formulations of the time response function, restored values, and linear parameters estimation.

TL;DR: In this paper, the exponential-form variable separation solution of (2+1)-dimensional Korteweg-de Vries equation is found via the two-function method, and this solution covers many special combined solutions including sinh-cosh,sin-cos,sech-tanh,csch-coth,sec-tan and csc-cot solutions.

TL;DR: In this paper, the authors investigated the analytical and semi-analytical approaches for the nonlinear dynamic and static hygrothermal buckling analysis of imperfect functionally graded porous (FGP) cylindrical shells under hygthermal loading.

TL;DR: The current work breaks free from the qualitative description of digital twins pervading the literature and can be used as benchmark solutions to validate digital twin of experimental dynamic systems and their implementation using sensors, the internet of things and deployment on the cloud computing systems.

TL;DR: In this paper, an active control of nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved smart nanoshells with surface effects is studied.

TL;DR: In this paper, a ray tracing heat source model was used in mesoscale finite volume method (FVM) simulations for the selective laser melting (SLM) process, where multiple reflections of the laser beam at the surface of the metal powders were taken into account in modeling.

TL;DR: In this paper, the active vibration control and vibration characteristics of a sandwich thin cylindrical shell whose intermediate layer is made of the graphene reinforced composite that is bonded with integrated piezoelectric actuator and sensor layers at its outer and inner surfaces are investigated.

TL;DR: A new computational method to evaluate comprehensively the positional accuracy reliability for single coordinate, single point, multipoint and trajectory accuracy of industrial robots is proposed using the sparse grid numerical integration method and the saddlepoint approximation method.

TL;DR: An improved Harris Hawks optimization algorithm based on information exchange is proposed to optimize the continuous function and its application to engineering problems, and a nonlinear escaping energy factor with chaos disturbance is designed to better balance the local searching and the global searching of the algorithm.

TL;DR: The proposed flow control strategies can provide detailed information about control stations, control durations and control intensities, and can effectively reduce the total waiting time and relieve the number of stranded passengers in the urban rail transit network.

TL;DR: In this article, the flutter vibrations of fluid-conveying thin-walled nanotubes subjected to magnetic field are investigated and the size-dependent governing equations and associated boundary conditions are derived based on the extended Hamilton's principle.

TL;DR: The results prove that the proposed Multivariable Grey Model (1,2) has evidently superior performance to another two models, with average relative errors of simulation and prediction at 1.32% and 0.32%, respectively.

TL;DR: The proposed algorithm considers the population series of evolutionary algorithms as a time series, and uses the even grey model as a reproduction operator to forecast the next population (without employing any mutation and crossover operators).