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Optimal laser scan path for localizing a fluorescent particle in two or three dimensions

Gregg M. Gallatin, Andrew J. Berglund
2012 Optics Express  
Also, we show that whereas the optimum path for a Gaussian beam in two dimensions can be chosen to be continuous, it cannot be continuous in three dimensions.  ...  The optimal path for a Gaussian beam scanned in two or three dimensions is presented along with the Cramér-Rao bound, which gives the ultimate localization accuracy that can be achieved by analyzing the  ...  We specify the problem in terms of the Fisher information matrix, give global optimality conditions, and identify scan paths for the familiar Gaussian beam pro…les in two-and three-dimensions.  ... 
doi:10.1364/oe.20.016381 fatcat:eugpel75ljhshaci6vwj5pm3x4

Microstructured Phononic Crystal Isolates from Ultrasonic Mechanical Vibrations

Valentina Zega, Luca Pertoldi, Tommaso Zandrini, Roberto Osellame, Claudia Comi, Alberto Corigliano
2022 Applied Sciences  
We exploit the direct writing technique based on two-photon polymerization to realize three prototypes of different dimensions.  ...  Phononic crystals, presenting band-gaps in the dispersion spectrum, i.e., interval of frequency in which propagating waves are attenuated, can provide an effective solution for vibration shielding at the  ...  Each beam was divided into three regions where, (i) one superimposed layer (orange), (ii) two superimposed layers (green) and (iii) at least three superimposed layers (grey) were present.  ... 
doi:10.3390/app12052499 fatcat:4roshxkvj5dmldbswwzjalhxc4

Optimum cost design of reinforced concrete continuous beams using Genetic Algorithms

Yousif S.T, Najem R. Mh
2013 International Journal of Applied Science and Engineering Research  
While most of the approaches reported in the literature consider steel reinforcement and cross-sectional dimensions of beam as design variables of the flexural aspect only, the dimensions and reinforcing  ...  steel in this research were introduced as design variables, considering the flexural, shear, and torsion effects on the beam.  ...  Acknowledgement We would like to thank the reviewers for their efforts in reviewing this paper and giving us their opinions and notes to help us making our work as good as it gets.  ... 
doi:10.6088/ijaser.020100009 fatcat:oxrvfbzhlfczlpyhtj4wz5yeua

Design Optimization of Reinforced Concrete Frames

Abobakr A. A. Aga, Fathelrahman M. Adam
2015 Open Journal of Civil Engineering  
In this paper, a design optimization for the reinforced concrete plane frame structure has been done in order to minimize the cost of the concrete and steel for beams and columns by adopting the Artificial  ...  A three-bay two-story RC frame is modeled with selecting different span length and different load cases.  ...  Also the study can be extended using the extensive data of design obtained using various beams and columns cross-sections, different strength of concrete and different span lengths to draw relations between  ... 
doi:10.4236/ojce.2015.51008 fatcat:l6u6lux7cvg33ggiqtek3uwrg4

Multi-objective global optimization of grillage-type engineering structures using advanced metaheuristics

Rimantas Belevičius, Darius Mačiūnas, Dmitrij Šešok
2020 Acta et Commentationes Universitatis Tartuensis de Mathematica  
Compromise objective function to be minimized involves the maximum reactive force in piles and maximum bending moment in the connecting beams.  ...  The purpose of the paper is to present the method implemented for a global optimization of grillage-type pile foundations introducing two advanced metaheuristics: AAGA and AGADS.  ...  The authors are grateful to the referees for their valuable suggestions and remarks that definitely improved the paper.  ... 
doi:10.12697/acutm.2019.23.20 fatcat:pj4buvqi2bb3tfvhar7cz54wcu

Page 5040 of Mathematical Reviews Vol. , Issue 2004f [page]

2004 Mathematical Reviews  
20041:90109 2004f:90109 90C27 90090 92C50 Chen, Danny Z. (1-NDM-CS; Notre Dame, IN); Xu, Jinhui (1-SUNYB-CSE; Buffalo, NY) Computing optimal beams in two and three dimensions. (English summary) J.  ...  Different shapes of beams as well as similar problems in dimension three are treated as well. The authors describe algorithms for several of these beam prob- lems.  ... 

The MINLP Approach to Cost Optimization of Structures [chapter]

Stojan Kravanja, Tomaž Žula, Uroš Klanšek
2008 Design, Fabrication and Economy of Welded Structures  
The optimization is performed by a user-friendly version of the MINLP computer package MIPSYN. Two examples are presented at the end of the paper.  ...  The MINLP optimization is performed through three steps: i.e. the generation of a mechanical superstructure, the modelling of an MINLP model formulation and the solution of the defined MINLP problem.  ...  The MINLP optimization approach is proposed to be performed through three steps.  ... 
doi:10.1533/9781782420484.2.89 fatcat:moyse22vgbfujmakyyecn6xdfe

Minimum weight design of prestressed concrete beams by a modified grid search technique

2015 Challenge Journal of Structural Mechanics  
A B S T R A C T In this study, a computer program, which employs modified grid search optimization technique, has been developed for the minimum weight of prestressed concrete beams under flexure.  ...  Two examples, one of which is available in the literature and the other is modified form of it, have been solved for minimum cross-sectional area designs and the results were found to be in good agreement  ...  Take three values for each variable in the region, two of them at the ends and the third at the midpoint.  ... 
doi:10.20528/cjsmec.2015.06.017 fatcat:qtte5a646jekpguoio6ktzho2y

Multi-Goal Driven Optimization of the Beam in Straight-Side Two-Point Press

Bing Yang
2020 Journal Europeen des Systemes Automatises  
Traditionally, the beams of mechanical presses are designed and optimized empirically.  ...  This paper attempts to develop a lightweight design for the beam of a straight-side two-point press without sacrificing the strength and stiffness of the structure, thus saving materials and production  ...  Their dimensions are critical to the structural performance of the whole beam. Here, the dimensions of the two plates are parameterized on SolidWorks, creating a parametric 3D model of the beam.  ... 
doi:10.18280/jesa.530118 fatcat:qaigdedx3nd4lgsm7jel4hpy6m

Expert system of single magnetic lens using JESS in Focused Ion Beam

Fadhil A. Ali
2013 International Journal on Computational Science & Applications  
This work shows expert system of symmetrical single magnetic lens used in focused ion beam optical system.  ...  The pole pieces reconstruction has been resulted in 3D graph , and under the infinite magnification conditions of the optical path, aberration (spherical / chromatic and total) disks diameters have been  ...  The following figures (6) and (7) are shown the profiles of the pole pieces of the optimized magnetic field with µ (permeability) = 0 and NI = 96ampere-turns in two and three dimensions respectively  ... 
doi:10.5121/ijcsa.2013.3601 fatcat:3pz5nl27avaproe7yrnncb4fca

Structural optimization by multilevel decomposition

1985 AIAA Journal  
to be used in the are both embedded in the two-level optimization, context of the proposed multilevel optimization It turned out that the three variants and method and attention was then directed to the  ...  of three I-beams variables X which can be regarded as generalized made of the same material and having crossdesign variables that determine the structure mass sectional dimensions as shown in the inset  ...  Approximate the minimized measures of the constraint violation in each beam as linear functions of 6 quantities A and I by a linear Taylor expansion, using the derivatives computed in step 7.  ... 
doi:10.2514/3.9165 fatcat:fw2trdb3kbgy5den233k3wjkn4

Using eigenstructure of the Hessian to reduce the dimension of the intensity modulated radiation therapy optimization problem

Fredrik Carlsson, Anders Forsgren, Henrik Rehbinder, Kjell Eriksson
2006 Annals of Operations Research  
This study investigates the effect on the optimal solution, and hence treatment outcome, when solving an approximate optimization problem of lower dimension.  ...  The eigenvector weight optimizations performed on a prostate patient case show that a reduction in dimension results in faster initial decline in the objective function, but the approximate model is in  ...  Including the voxels in the tumor and in two or three OARs turned out to be a viable strategy when building D.  ... 
doi:10.1007/s10479-006-0082-z fatcat:evpspwrbivgtzn3s25gfplnhhi

Computational support in experimental burner design optimisation

Marek Šarlej, Pavel Petr, Jiří Hájek, Petr Stehlík
2007 Applied Thermal Engineering  
The authors would like to thank Jan Novotný and colleagues from research seminars at the Dept. of Statistics and Optimization, IM, FME, BUT Brno, and the Dept. of Probability and Mathematical Statistics  ...  /1658 and by a research plan from the Ministry of Education, Youth and Sport of the Czech Republic no.  ...  Finally, the dimensions of the beam cross section must be bounded, see (8) and (9) .  ... 
doi:10.1016/j.applthermaleng.2007.04.020 fatcat:ip5o2wjjofbord5uf5c73g6z6u

Design of Fully Digital Controlled Shaped Beam Synthesis Using Differential Evolution Algorithm

D. Mandal, A. Chatterjee, A. K. Bhattacharjee
2013 International Journal of Antennas and Propagation  
To illustrate the effectiveness of DE, the two beam patterns with specified characteristics are computed from the same array using Particle Swarm Optimization (PSO) algorithm and Genetic algorithm (GA)  ...  In the first case, a flat-top beam pattern and, in the second case, a cosec 2 beam pattern have been generated.  ...  Three different -cuts of the obtained flat-top beams, computed individually using DE, PSO, and GA are shown in Figure 4 . In Figure 4 , the presented -cuts are 0 degree, 5 degrees, and 10 degrees.  ... 
doi:10.1155/2013/713680 fatcat:bhaxk372rvampm2bvmosvp54iq

Terahertz radiation for tomographic inspection

Benoit Recur
2012 Optical Engineering: The Journal of SPIE  
terahertz computed tomography has already been performed with three different reconstruction methods (standard back-projection algorithm and two iterative analyses) to reconstruct 3-D objects.  ...  This model is included as a new convolution filter into the tomographic reconstruction methods in order to analyze the impact of a such effect and then to enhance quality and accuracy of the resulting  ...  Acknowledgments The authors are grateful for the financial support of this project in the frame of the DOTNAC program (Development and Optimization of THz NDT of Aeronautics Composite multilayered structures  ... 
doi:10.1117/1.oe.51.9.091609 fatcat:a6thybjguvbxvaqthbosglonly
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