scholarly journals Investigation of the possible numerical treatments of a compliance-function-shape-oriented robust truss sizing model with uncertain loading directions

2020 ◽  
Vol 149 ◽  
pp. 102899
Author(s):  
Anikó Csébfalvi ◽  
János Lógó
Keyword(s):  
Compliance Function ◽  
Numerical Treatments ◽  
Function Shape

scholarly journals A New Compliance-function-shapeoriented Robust Approach for Volume-constrained Continuous Topology Optimization with Uncertain Loading Directions

2017 ◽  
Author(s):  
Anikó Csébfalvi
Keyword(s):  
Topology Optimization ◽  
Variational Problems ◽  
Feasible Directions ◽  
Robust Approach ◽  
Compliance Function ◽  
Equality Relation ◽  
Material Volume ◽  
Area Minimizing ◽  
Continuous Topology ◽  
Function Shape

The paper presents a new compliance-function-shape-oriented robust approach for the volume-constrained continuous topology optimization with uncertain loading directions. The pure set-based algorithm try to rearrange (take away) some amount of the material volume, originally used to minimize the nominal-compliance, to make a more balanced compliance-function-shape on the set of feasible directions which is less sensitive to the directional fluctuation. The objective is the area of the compliance function shape defined on the set of feasible directions. The area-minimal shape searching process is controlled by the maximum allowable increase of the nominal-compliance. The result will be a more robust compliance function shape which can be characterized by a higher nominal-compliance but a smaller curvature about it in any direction. Using the terminology of the classical variational problems, the proposed approach can be classified as a curve-length or surface-area minimizing inner-value problem where the inner condition, namely the maximum allowable increase of the nominal-compliance, expressed as a percentage of the original nominal compliance, the searching domain is defined implicitly as integration limits in the objective formulation and a usual equality relation is used to prescribe the allowable material volume expressed as a percentage of the total material volume. Two examples are presented to demonstrate the viability and efficiency of the proposed robust approach.

scholarly journals Kernel density estimation and its application

2018 ◽  
Vol 23 ◽  
pp. 00037 ◽  
Author(s):  
Stanisław Węglarczyk
Keyword(s):  
Probability Density Function ◽  
Probability Distribution ◽  
Density Estimation ◽  
Kernel Density Estimation ◽  
Real Life ◽  
Kernel Estimation ◽  
Kernel Density ◽  
Two Dimensional ◽  
2D Histogram ◽  
Function Shape

Kernel density estimation is a technique for estimation of probability density function that is a must-have enabling the user to better analyse the studied probability distribution than when using a traditional histogram. Unlike the histogram, the kernel technique produces smooth estimate of the pdf, uses all sample points' locations and more convincingly suggest multimodality. In its two-dimensional applications, kernel estimation is even better as the 2D histogram requires additionally to define the orientation of 2D bins. Two concepts play fundamental role in kernel estimation: kernel function shape and coefficient of smoothness, of which the latter is crucial to the method. Several real-life examples, both for univariate and bivariate applications, are shown.

On form dictating function: shape and structural effects in silica-based funtional materials

2010 ◽  
Vol 10 (1) ◽  
pp. 17-28 ◽  
Author(s):  
Mario Pagliaro ◽  
Rosaria Ciriminna ◽  
Giovanni Palmisano
Keyword(s):  
Structural Effects ◽  
Function Shape

scholarly journals PERANCANGAN KURSI TANGGA MENGGUNAKAN METODE QUALITY FUNCTION DEPLOYMENT

2020 ◽  
Vol 4 (2) ◽  
pp. 229
Author(s):  
Antonius Sugianto ◽  
Ngesti Yuwono ◽  
Kristianus Satriawan
Keyword(s):  
Product Design ◽  
Quality Function Deployment ◽  
High Weight ◽  
Raw Materials ◽  
Quality Function ◽  
Application Method ◽  
Limited Space ◽  
Function Shape

Limited space in carrying out activities demanded the availability of furniture that has multifunctional. The purpose of this research is to design a multi-functional Stair Chair. The method used is Quality Function Deployment. The Quality Function Deployment method is used to obtain the product variables desired by most prospective users so that expected design results can fulfill the consumer's wishes. Existing product variables are the description of the main aspects of designing a product i.e. function, shape, construction and material. The main aspects of this design should be considered in order to produce a product design that meets the criteria in designing the correct furniture techniques. The understanding of the importance of ergonomics and anthropometry is indispensable for the main purpose of product design that is appropriate to the wishes of consumers can be fulfilled. Comfort and security become something the parameters must be met. Suitability of the size of furniture with users should be noticed for comfort in use can be fulfilled. Application method of Quality Function Deployment recommends that the development of stair seat products should be aware of the variable needs of consumers who have high weight, namely using strong raw materials, using raw materials that are durable, Using a maximum construction of 2 types, the system of fix assembly. Keywords: design; ladder chair; multi function; quality function deployment ABSTRAKKeterbatasan ruang  dalam melaksanakan aktivitas menuntut tersedianya furnitur yang memiliki multifungsi. Tujuan penelitian ini merancang Kursi Tangga yang memiliki multi fungsi. Metode yang digunakan adalah Quality Function Deployment. Metode Quality Function Deployment digunakan untuk mendapatkan variabel produk yang diinginkan oleh sebagian besar calon pemakai sehingga diharapkan hasil perancangan dapat memenuhi keinginan konsumen. Variabel produk yang ada merupakan penjabaran dari aspek utama dalam merancang sebuah produk yaitu fungsi, bentuk, konstruksi dan bahan. Aspek utama dalam perancangan ini harus diperhatikan agar menghasilkan rancangan produk yang memenuhi kriteria dalam teknik mendesain furniture yang benar. Pemahaman akan pentingnya ergonomi dan antropometri sangat diperlukan agar tujuan utama perancangan produk yang sesuai dengan keinginan konsumen dapat terpenuhi. Kenyamanan dan keamanan menjadi sesuatu parameter yang harus dipenuhi. Kesesuaian ukuran furniture dengan pengguna harus diperhatikan agar kenyamanan dalam pemakaian dapat terpenuhi. Aplikasi metode Quality Function Deployment merekomendasikan bahwa pengembangan produk Kursi Tangga harus memperhatikan variabel kebutuhan konsumen yang memiliki bobot tinggi yaitu menggunakan bahan baku yang kuat, menggunakan bahan baku yang awet, menggunakan konstruksi maksimal 2 jenis, sistem perakitan mati.

scholarly journals Neutrino Transport with the Monte Carlo Method. II. Quantum Kinetic Equations

2021 ◽  
Vol 257 (2) ◽  
pp. 55
Author(s):  
Chinami Kato ◽  
Hiroki Nagakura ◽  
Taiki Morinaga
Keyword(s):  
Monte Carlo ◽  
Technical Problem ◽  
Sudden Change ◽  
Kinetic Equations ◽  
Mean Free Path ◽  
High Energy ◽  
The Monte Carlo Method ◽  
Numerical Treatments ◽  
Quantum Feature ◽  
Statistical Noise

Abstract Neutrinos have a unique quantum feature as flavor conversions. Recent studies suggested that collective neutrino oscillations play important roles in high-energy astrophysical phenomena. The quantum kinetic equation (QKE) is capable of describing the neutrino flavor conversion, transport, and matter collision self-consistently. However, we have experienced many technical difficulties in their numerical implementation. In this paper, we present a new QKE solver based on a Monte Carlo (MC) approach. This is an upgraded version of our classical MC neutrino transport solver; in essence, a flavor degree of freedom including mixing state is added into each MC particle. This extension requires updating numerical treatments of collision terms, in particular for scattering processes. We deal with the technical problem by generating a new MC particle at each scattering event. To reduce statistical noise inherent in MC methods, we develop the effective mean free path method. This suppresses a sudden change of flavor state due to collisions without increasing the number of MC particles. We present a suite of code tests to validate these new modules with comparison to the results reported in previous studies. Our QKE-MC solver is developed with fundamentally different philosophy and design from other deterministic and mesh methods, suggesting that it will be complementary to others and potentially provide new insights into physical processes of neutrino dynamics.

Effects of Intake Function Shape on Internal Dose Estimations

1998 ◽  
Vol 75 (1) ◽  
pp. 77-85
Author(s):  
Daniela Manuca ◽  
Kimberlee J. Kearfott
Keyword(s):  
Internal Dose ◽  
Function Shape

Load Spectrum Compilation Based on Nonparametric Statistical Extrapolation

2013 ◽  
Vol 694-697 ◽  
pp. 271-277 ◽  
Author(s):  
Zhi Qiang Xu ◽  
Hong Jian Wang ◽  
Ming Yao Yao
Keyword(s):  
Kernel Function ◽  
Time History ◽  
Critical Issue ◽  
Extrapolation Method ◽  
Load History ◽  
Load Spectrum ◽  
Load Characteristics ◽  
Nonparametric Statistical ◽  
Function Shape

Considering the special load characteristics of the wheel loader, thispaper focus on compiling the load spectrum of the transmission of the wheelloader using the nonparametric statistical extrapolation method (NSEM). In thisprocess, the determination of the kernel function shape is the critical issue,which has been discussed in detail. Before extrapolating the sample loadspectrum, the signal denoising of the field-tested time-history load signals isperformed. After that, the sample load cycles are obtained using the rainflowcounting method and the corresponding kernel function shape is determined. Thenthe NSEM of rainflow matrix is proposed, by which the whole-life load spectrumis estimated. The proposed extrapolation method can well realize the estimationof the load cycles that do not appear in sample load cycles but may exist inthe whole-life load history.

Numerical Evaluation of Crashworthiness of Automotive Sheets

2007 ◽  
Vol 345-346 ◽  
pp. 1537-1540
Author(s):  
Han Sun Ryou ◽  
Myoung Gyu Lee ◽  
Chong Min Kim ◽  
Kwan Soo Chung
Keyword(s):  
Crystal Structures ◽  
Yield Surface ◽  
Numerical Evaluation ◽  
Kinematic Hardening ◽  
Sheet Thickness ◽  
Back Stress ◽  
Yield Function ◽  
Chaboche Model ◽  
Simulation Results ◽  
Function Shape

Crash simulations were performed for automotive sheets. To understand the influence of crystal structures in sheet materials on crashworthiness, the effect of the yield function shape was studied by adopting the recently developed non-quadratic anisotropic yield surface, Yld2004-18p. The effect of the back-stress was also investigated by comparing simulation results obtained for the isotropic, kinematic and combined isotropic-kinematic hardening laws based on the modified Chaboche model. In addition, the effects of anisotropy and sheet thickness on crashworthiness were evaluated.

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