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result(s) for
"Density methods"
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Weibull parameters estimation using combined energy pattern and power density method for wind resource assessment
by
Sumair, Muhammad
,
Bhutta, Muhammad Mahmood Aslam
,
Aized, Tauseef
in
Parameter estimation
,
Research Article
,
Weibull distribution
2021
This work deals with the development of Combined Energy Pattern & Power Density Method (CEPPDM) to evaluate the two parameters needed to define Weibull distribution. Five years (2015–2019) wind data recorded each 60-minutes interval at eleven representative sites in Pakistan was used and efficiency of CEPPDM was compared with Energy Pattern Factor Method (EPFM) and Power Density Method (PDM) with the help of MAPE, MSE and R². Analysis showed that CEPPDM is the most efficient method while EPFM is the least efficient. Furthermore, it was found that RYK is the most lucrative site and Layyah is the weakest site regarding wind potential. Wind rose plots were drawn which showed that the wind mainly blows in the range of 200°–270°.
Journal Article
Force density method for simultaneous optimization of geometry and topology of trusses
by
Hayashi, Kazuki
,
Ohsaki, Makoto
in
Axial forces
,
Computational Mathematics and Numerical Analysis
,
Cross-sections
2017
A new method of simultaneous optimization of geometry and topology is presented for plane and spatial trusses. Compliance under single loading condition is minimized for specified structural volume. The difficulties due to existence of melting nodes are successfully avoided by considering force density, which is the ratio of axial force to the member length, as design variable. By using the fact that the optimal truss is statically determinate with the same absolute value of stress in existing members, the compliance and structural volume are expressed as explicit functions of force density only. After obtaining optimal cross-sectional area, nodal locations, and topology, the cross-sectional areas and nodal coordinates are further optimized using a conventional method of nonlinear programming. Accuracy of the optimal solution is verified through examples of plane trusses and a spatial truss. It is shown that various nearly optimal solutions can be found using the proposed method.
Journal Article
Density functional theory
by
Sholl, David S
,
Steckel, Janice A
in
Condensed Matter
,
Density functionals
,
Mathematical physics
2009
This resource provides a brief, readable introduction to the key concepts and practical applications of density functional theory (DFT), at a level suitable for individuals from a variety of scientific backgrounds whom have never performed DFT calculations before.
The Kohn-Sham equation for deformed crystals
by
Lu, Jianfeng
,
E., Weinan
in
Deformations (Mechanics)
,
Deformations (Mechanics) -- Mathematical models
,
Density functionals
2012
The solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem is studied in the context of
the electronic structure of smoothly deformed macroscopic crystals. An analog of the classical Cauchy-Born rule for crystal lattices is
established for the electronic structure of the deformed crystal under the following physical conditions: (1) the band structure of the
undeformed crystal has a gap,
Uniform-tension form-finding design for asymmetric cable-mesh deployable reflector antennas
2016
Space antennas with high gain and high directivity are in great demand for future communication and observation applications. Deployable cable-mesh reflector antennas are required to be tensioned in a self-equilibrated state through form-finding design. In order to ensure the cable-mesh reflector antennas’ high performances, both surface accuracy requirements and tension uniformity should be considered in the form-finding design process. To effectively implement the form-finding design for asymmetric cable-mesh antennas, a two-step uniform-tension form-finding approach is presented. In step 1, with the cable tension and membrane stress being considered simultaneously, an iterative design technique which combines force density method and surface stress density method is presented. In step 2, considering the asymmetry between the rear and front nets, the nodal z-coordinates and cable tensions of the rear net are designed with the combination of the equilibrium matrix method and force density method. Finally, an offset AstroMesh antenna is designed using the proposed method. For the obtained antenna, the cable tension and membrane stress of the front net are completely uniform, and the maximum tension ratio of the rear cable net is 1.06, which are very satisfactory.
Journal Article
Topology optimization approaches
by
Sigmund, Ole
,
Maute, Kurt
in
Computational Mathematics and Numerical Analysis
,
Engineering
,
Engineering Design
2013
Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Journal Article
Level set topology and shape optimization by density methods using cut elements with length scale control
by
Elingaard, Martin Ohrt
,
Andreasen, Casper Schousboe
,
Aage, Niels
in
Computational Mathematics and Numerical Analysis
,
Density
,
Engineering
2020
The level set and density methods for topology optimization are often perceived as two very different approaches. This has to some extent led to two competing research directions working in parallel with only little overlap and knowledge exchange. In this paper, we conjecture that this is a misconception and that the overlap and similarities are far greater than the differences. To verify this claim, we employ, without significant modifications, many of the base ingredients from the density method to construct a crisp interface level set optimization approach using a simple cut element method. That is, we use the same design field representation, the same projection filters, the same optimizer, and the same so-called robust approach as used in density-based optimization for length scale control. The only noticeable difference lies in the finite element and sensitivity analysis, here based on a cut element method, which provides an accurate tool to model arbitrary, crisp interfaces on a structured mesh based on the thresholding of a level set—or density—field. The presented work includes a heuristic hole generation scheme and we demonstrate the design approach on several numerical examples covering compliance minimization and a compliant force inverter. Finally, we provide our MATLAB code, downloadable from www.topopt.dtu.dk, to facilitate further extension of the proposed method to, e.g., multiphysics problems.
Journal Article
A survey of structural and multidisciplinary continuum topology optimization: post 2000
by
Deaton, Joshua D.
,
Grandhi, Ramana V.
in
Computational Mathematics and Numerical Analysis
,
Design optimization
,
Engineering
2014
Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain. This paper surveys topology optimization of continuum structures from the year 2000 to 2012. It focuses on new developments, improvements, and applications of finite element-based topology optimization, which include a maturation of classical methods, a broadening in the scope of the field, and the introduction of new methods for multiphysics problems. Four different types of topology optimization are reviewed: (1) density-based methods, which include the popular Solid Isotropic Material with Penalization (SIMP) technique, (2) hard-kill methods, including Evolutionary Structural Optimization (ESO), (3) boundary variation methods (level set and phase field), and (4) a new biologically inspired method based on cellular division rules. We hope that this survey will provide an update of the recent advances and novel applications of popular methods, provide exposure to lesser known, yet promising, techniques, and serve as a resource for those new to the field. The presentation of each method’s focuses on new developments and novel applications.
Journal Article
Topology optimization of acoustic mechanical interaction problems: a comparative review
by
Aage, Niels
,
Dilgen, Cetin B.
,
Dilgen, Sumer B.
in
Acoustic coupling
,
Acoustics
,
Computational Mathematics and Numerical Analysis
2019
The pursuit for design improvements by geometry modifications can easily become prohibitive using a trial and error process. This holds especially when dealing with multi-physics problems—such as acoustic-structure interaction—where it is difficult to realize design improvements intuitively due to the complexity of the coupled physics. Compared to classical shape optimization, where a near optimal shape has to be supplied as an initial guess, topology optimization allows for innovative designs through a completely free material distribution, such that the topology can change during the optimization process. The goal of this article is to provide a comprehensive critical review of the proposed strategies for topology optimization of coupled acoustic-structure interaction problems. The work includes a comparison of topology optimization formulations with density, level set, and evolutionary-based methods and discusses the corresponding strengths and weaknesses through the considered application examples. The review concludes with recommendations for future research directions.
Journal Article
Evaluating wind energy potential in Gorgan–Iran using two methods of Weibull distribution function
by
Khaleghi, Masoud
,
Hashemi-Tilehnoee, Mehdi
,
Babayani, Dayan
in
Potential energy
,
Renewable energy
,
Standard deviation
2016
In this study, wind energy characteristics of the, a city in northeast of Iran, measured at 10m height in 2014. The Gorgan airport one hour recorded data extrapolated to 50m height. The data have been statistically analyzed hourly, daily, monthly, seasonally and annually to determine the wind power potential. Weibull distribution function has been used to determine the wind power density and then the potential energy. Standard deviation method and power density method are the methods used to calculate the scaling and shaping parameters of the Weibull distribution function. The annual mean wind power calculated by the standard deviation method and the power density method is 38.98w/m2 and 41.32w/m2, respectively. By comparing the results concluded that the power density method is a better method than the standard deviation method. In addition, Gorgan wind energy potentiality categorized into class 1. So is unsuitable to utilize large wind energy turbine. Article History: Received November 21, 2015; Received in revised form January 15, 2016; Accepted February 10, 2016; Available onlineHow to Cite This Article: Babayani, D., Khaleghi, M., Tashakor, S., and Hashemi-Tilehnoee.,M. (2016) Evaluating wind energy potential in Gorgan–Iran using two methods of Weibull distribution function. Int. Journal of Renewable Energy Development, 5(1), 43-48.http://dx.doi.org/10.14710/ijred.5.1.43-48
Journal Article