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computational procedure for the Life Assessment of Solid Rocket Motors

JOURNAL OF SPACECRAFT AND ROCKETS 2010年第4期47卷 639-648页

作者： Ozupek, Sebnem Bogazici Univ Dept Mech Engn TR-34342 Istanbul Turkey

A computational procedure for service-life estimation of a solid propellant rocket motor grain is developed. The propellant response is mathematically represented using a nonlinear damaging viscoelastic model. A finite element analysis is then performed to identify potential failure modes of the grain and to determine the critical values of stress strain associated with the potential failure modes. Both the current and aged propellant samples are calibrated and the motor is analyzed Our the models representing the different ages of the motor. Based on the available strain capability and bond-line strength data, the grain service life is estimated to end by bond failure during cold firing.

关键词： a_T: shift function C_i T_r: Williams-Landel-Ferry coefficients and reference temperature [Eq. (14)] c: void content E: Young's modulus kg/mm~2 f: cyclic loading function et al life evaluation Life estimation computational procedure FAILURE MODES Critical value service life Rocket motors grain solid rocket engines Motor granulation

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Calculations of hyperfine splitting constants taking into account the volume distribution of the nuclear magnetic moment. I. computational procedure as applied to hydrogen-like ions

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OPTICS AND SPECTROSCOPY 2002年第3期93卷 357-367页

作者： Tupitsyn, II Loginov, AV Shabaev, VM St Petersburg State Univ Petrodvorets Branch Petrodvorets 198504 Russia SI Vavilov State Opt Inst St Petersburg 199034 Russia

A computational algorithm is developed for the magnetic-dipole constant of the hyperfine structure of atomic spectra, which takes into account the distribution of the magnetic moment in the nuclear volume both in the relativistic and in the nonrelativistic formulation. A significant difference between the nonrelativistic approximation, and the pointlike nucleus approximation is the presence of a nonzero contact hyperfine interaction for electrons with nonzero orbital angular momentum in the former case. The procedure is tested in, the computation of the Bohr-Weisskopf correction for hydrogen-like spectra. (C) 2002 MAIK "Nauka/Interperiodica".

关键词： Nonzero nuclear magnetic moment computational procedure ORBITAL ANGULAR MOMENTUM Hydrogen Hyperfine splitting Volume hyperfine interactions Ions Atomic spectroscopy hyperfine structure Magnetic moment

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A computational procedure to identify significant overlap of differentially expressed and genomic imbalanced regions in cancer datasets

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NUCLEIC ACIDS RESEARCH 2009年第15期37卷 5057-5070页

作者： Bicciato, Silvio Spinelli, Roberta Zampieri, Mattia Mangano, Eleonora Ferrari, Francesco Beltrame, Luca Cifola, Ingrid Peano, Clelia Solari, Aldo Battaglia, Cristina Univ Modena & Reggio Emilia Dept Biomed Sci I-41100 Modena Italy CNR Natl Res Council Inst Biomed Technol ITB I-20133 Milan Italy Scuola Int Super Studi Avanzati SISSA ISAS Trieste Italy Univ Milan Dept Biomed Sci & Technol I-20133 Milan Italy Univ Milan CISI I-20133 Milan Italy Univ Padua Dept Biol Padua Italy Univ Padua Dept Chem Proc Engn Padua Italy

The integration of high-throughput genomic data represents an opportunity for deciphering the interplay between structural and functional organization of genomes and for discovering novel biomarkers. However, the development of integrative approaches to complement gene expression (GE) data with other types of gene information, such as copy number (CN) and chromosomal localization, still represents a computational challenge in the genomic arena. This work presents a computational procedure that directly integrates CN and GE profiles at genome-wide level. When applied to DNA/RNA paired data, this approach leads to the identification of Significant Overlaps of Differentially Expressed and Genomic Imbalanced Regions (SODEGIR). This goal is accomplished in three steps. The first step extends to CN a method for detecting regional imbalances in GE. The second part provides the integration of CN and GE data and identifies chromosomal regions with concordantly altered genomic and transcriptional status in a tumor sample. The last step elevates the single-sample analysis to an entire dataset of tumor specimens. When applied to study chromosomal aberrations in a collection of astrocytoma and renal carcinoma samples, the procedure proved to be effective in identifying discrete chromosomal regions of coordinated CN alterations and changes in transcriptional levels.

关键词： Chromosome Aberrations computational procedure Genotype Genomics Astrocytoma cyanogen Dataset

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A computational-procedure FOR TAU-CORRELATION

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PSYCHOMETRIKA 1957年第1期22卷 97-104页

作者： CARTWRIGHT, DS University of Chicago USA

A computational procedure is described which maintains continuous computational checks, saves labor, and particularly facilitates the use of "tau" with large samples.

关键词： Public Policy Statistical Theory computational procedure Forced Distribution computational Check

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Theoretical Model and computational procedure to Evaluate the NSM FRP Strips Shear Strength Contribution to a RC Beam

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JOURNAL OF STRUCTURAL ENGINEERING 2011年第11期137卷 1359-1372页

作者： Bianco, Vincenzo Monti, Giorgio Barros, J. A. O. Sapienza Univ Rome Dept Struct Engn & Geotech I-00197 Rome Italy Univ Minho Dept Civil Engn P-4810058 Guimaraes Portugal

This paper presents a computational procedure to evaluate the shear strength contribution provided to a reinforced concrete (RC) beam by a system of near-surface mounted (NSM) fiber reinforced polymer (FRP) strips. This procedure is based on the evaluation of (1) the constitutive law of the average-available bond-length NSM FRP strip effectively crossing the shear crack, and (2) the maximum effective capacity it can attain during the loading process of the strengthened beam. Because of complex phenomena such as (1) interaction between forces transferred through bond to the surrounding concrete and the concrete fracture, and (2) interaction among adjacent strips, the NSM FRP strip constitutive law is largely different than the linear elastic one characterizing the FRP behavior in tension. Once the constitutive law of the average-available bond-length NSM strip is reliably known, its maximum effective capacity can be determined by imposing a coherent kinematic mechanism. The self-contained and ready-to-implement set of analytical equations and logical operations is presented along with the main underlying physical-mechanical principles and assumptions. The formulation proposed is appraised against some of the most recent experimental results, and its predictions are also compared with those obtained by a recently developed more sophisticated model. DOI: 10.1061/(ASCE)ST.1943-541X.0000370. (C) 2011 American Society of Civil Engineers.

关键词： FRP NSM computational procedure Shear strengthening Concrete fracture Debonding Tensile rupture

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A Neural Network Constitutive Model and Automatic Stiffness Evaluation for Multiscale Finite Elements

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APPLIED SCIENCES-BASEL 2025年第7期15卷 3697-3697页

作者： Mouratidou, Aliki D. Stavroulakis, Georgios E. Tech Univ Crete Inst Computat Mech & Optimizat Sch Prod Engn & Management Khania 73100 Greece

A neural network model for a constitutive law in nonlinear structures is proposed in this paper. The artificial neural network (ANN) model is constructed based on a data set of responses from representative volume elements, which was calculated by finite elements and using an open scientific software machine learning platform. The tangential stiffness matrix, which can be used within a multiscale finite element analysis, is calculated via the method of automatic differentiation. Two types of constitutive neural networks are proposed. The first approach involves training a residual model with three respective surrogate models for the stress components, ensuring less computing cost. The second approach considers a separate ANN for each stress component, ensuring a high rate of convergence. The numerical results are compared with the given data set as well as with the results obtained after applying a polynomial regression. The loss function, without and including the Sobolev metrics, is considered. In addition, a physics-informed constitutive neural model, which enforces hyperelasticity principles, is also analyzed. The choice of the hyperparameters is discussed.

关键词： neural network constitutive law composite structure representative volume element computational procedure material consistency-informed constitutive neural network

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Nanoparticles Shape-Dependent Thermal Analysis of Non-Newtonian Hybrid Nanofluid over a Radiated Stretching Sheet

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BIONANOSCIENCE 2025年第2期15卷 1-20页

作者： AL Garalleh, Hakim Univ Business & Technol Coll Engn Dept Math Sci Jeddah 21361 Saudi Arabia

Chemical activated and magnetized nanomaterials have gained significant attention in several medical applications due to their exceptional thermal and physical attributes. Particularly gold and silver nanoparticles with pure blood, making it suitable for many medical interventions. By taking the full benefits of their advanced and tailored thermophysical attributes, the study's primary aim is to investigate shape-dependent thermal transport dynamics in hybrid bio-nanofluid by employing a computational-based theoretical model. The physical model incorporates the Cross-viscosity model with the aid diverse factors such as heat source, thermal radiation, Brownian motion, and magnetohydrodynamics (MHD) consequences. The system of governing partial differential equations (PDEs) is shifted into a coupled system of ordinary differential equations (ODEs) by introducing similarity variables. Numerical treatment of resulting system is made through a well-known and robust bvp4c computational procedure. The effectiveness of the influential parameters on velocity, temperature, and concentration profile is examined comprehensively. It is noted that, postive variation in the numeric values of heat source and radiation parameters enhanced the heat transfer process. Furthermore, cylindrical-shaped nanoparticles enhance thermal transport in hybrid blood nanofluids because of reduced agglomeration and superior thermal conductivity compared to spherical nanoparticles. Cylindrical shape influences the temperature distribution rapidly with variant concentration of nanoparticles due to more conductive routes, and improved thermal conductivity facilitates effective heat dissemination within the hybrid blood nanofluids. The elongated shape promotes better thermal mixing and directional heat transfer, making them more effective for optimizing heat dissipation. Moreover, velocity and temperature distribution are sensitive to thermal slip consequences. The proposed results could be useful in se

关键词： Hemodynamics computational procedure Thermal transport mechanism Shapes dynamics MHD Hybrid nanofluids

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Experimental and computational procedures for the assessment of protein complexes on a genome-wide scale

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CHEMICAL REVIEWS 2007年第8期107卷 3585-3600页

作者： Musso, Gabriel A. Zhang, Zhaolei Emili, Andrew Univ Toronto Terrence Donnelly Ctr Cellular & Biomol Res Banting & Best Dept Med Res Toronto ON M5S 3E1 Canada Univ Toronto Dept Med Genet & Microbiol Toronto ON M5S 1A8 Canada

An integration of certain methods for examining proteins on a genomics scale is reviewed. Musso, et al discuss these methods in experiments on determining the presence or absence of single associations and clustering ... 详细信息

关键词： Complexes computational procedure complexes dichotomies Ribosomes Biological Process Protein Interaction Maps Proteins Protein Protein-Protein Interaction

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OSCILLATION THEORY AND computational procedureS FOR MATRIX STURM-LIOUVILLE EIGENVALUE PROBLEMS WITH AN APPLICATION TO HYDROGEN MOLECULAR ION

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JOURNAL OF PHYSICS PART A GENERAL 1969年第3期2卷 278-&页

作者： CALVERT, JM DAVISON, WD Queen's Univ. Belfast UK

A generalized Prufer transformation is used to derive comparison and oscillation theorems for the matrix Sturm-Liouville eigenvalue problem. It is shown in particular that if the eigenvectors are required to vanish at one (at least) of the end points, then the eigenvalues are uniquely characterized by the number of points (termed focal points) at which a certain determinant (of linearly independent solutions each satisfying the other boundary condition) vanishes. Simple but effective computational procedures based on this analysis are suggested, and their use is illustrated by a single-centre calculation on the 3s sigma state of the hydrogen molecular ion.

关键词： Linear independence computational procedure matrix Eigenvector matrices eigenvalues Oscillations Hydrogen Ions molecular ions

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computational procedures for optimal experimental design in biological systems

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IET SYSTEMS BIOLOGY 2008年第4期2卷 163-172页

作者： Balsa-Canto, E. Alonso, A. A. Banga, J. R. IIM CSIC Proc Engn Grp Vigo 36208 Spain

Mathematical models of complex biological systems, such as metabolic or cell-signalling pathways, usually consist of sets of nonlinear ordinary differential equations which depend on several non-measurable parameters that can be hopefully estimated by fitting the model to experimental data. However, the success of this fitting is largely conditioned by the quantity and quality of data. Optimal experimental design (OED) aims to design the scheme of actuations and measurements which will result in data sets with the maximum amount and/or quality of information for the subsequent model calibration. New methods and computational procedures for OED in the context of biological systems are presented. The OED problem is formulated as a general dynamic optimisation problem where the time-dependent stimuli profiles, the location of sampling times, the duration of the experiments and the initial conditions are regarded as design variables. Its solution is approached using the control vector parameterisation method. Since the resultant nonlinear optimisation problem is in most of the cases non-convex, the use of a robust global nonlinear programming solver is proposed. For the sake of comparing among different experimental schemes, a Monte-Carlo-based identifiability analysis is then suggested. The applicability and advantages of the proposed techniques are illustrated by considering an example related to a cell-signalling pathway.

关键词： complex biological systems Probability theory, stochastic processes, and statistics Biology and medical computing physiological models nonlinear programming General, theoretical, and mathematical biophysics metabolic pathways control vector parameterisation method nonlinear optimisation problem computational procedure global nonlinear programming solver cell-signalling pathways biology computing dynamic optimisation problem nonlinear differential equations nonlinear ordinary differential equations mathematical models Monte-Carlo-based identifiability analysis time-dependent stimuli profiles cellular biophysics model calibration Cellular biophysics Function theory, analysis Monte Carlo methods

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