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Topic: Linear element

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	Linear - Wikipedia, the free encyclopedia
		Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations.
		Namely, linearity of a differential equation means that if two functions f and g are solution of the equation, then their sum f+g is also a solution of the equation.
		In electronics, the linear operating region of a transistor is where the collector-emitter current is related to the base current by a simple scale factor, enabling the transistor to be use as an amplifier that preserves the fidelity of audio signals.
	en.wikipedia.org /wiki/Linear (618 words)

	Fairchild Imaging - Linear CCD Arrays (Site not responding. Last check: 2007-11-01)
		The CCD 133A is a 1,024 element linear CCD with 13-µm pixels.
		The CCD 143A is a 2048 element linear CCD with 13-µm pixels.
		The CCD 153A is a 512 element linear CCD with 13-µm pixels.
	www.fairchildimaging.com /products/fpa/ccd/linear (163 words)

	Finite Element Modeling in Comparative Biomechanics
		Plate finite element: A plate finite element is similar in shape to the plate geometry element except the element has thickness associated with it, material properties, and an underlying structural behavioral model that accounts for the stiffness of the physical structure represented by the element.
		A quadratic brick element is defined by 20 nodes- one at each of the corners of the 8 corners of the hexahedral, and one node located along each of the 12 edges of the hexahedral element.
		The Tet-4 element admits linear displacement fields, which means the displacements within the element in the three coordinate directions are interporalated from the element's nodal displacements using known linear interpolating polynomial functions.
	www.biomesh.org /glossary.htm (1457 words)

	Electrically-powered linear heating element - Patent 5093894
		A heating element for use within a smoking device which is intended to be held in the lips of a consumer, and which without burning, heats a flavor-generating medium within the device to produce an aerosol, vapor, or flavor, which the consumer may inhale.
		The electrically-powered heating element of claim 1 wherein the heating element is of a size which could be contained within a smoking device having an outside diameter of between 6 and 18 millimeters.
		Furthermore, the heating element disclosed is configured so as to allow the consumer to operate the device in a puff by puff manner, with the option of suspending the operation of the device after any given puff, prior to the depletion of the device.
	www.freepatentsonline.com /5093894.html (4751 words)

	Linear electrochemical conductor element - Patent 6103075
		The invention pertains to linear electrochemical functional elements which have strip-shaped ion-exchange membranes (IEMs) and/or hydrogen-diffusion electrodes accessible at the ends which are enclosed on all sides in an insulating manner by a jacket of a solid material.
		Three of the four linear elements are connected to the hydrogen supply bore 165, while drill hole 166 connects the fourth linear element to air to allow the access of oxygen to this element.
		By accepting certain disadvantages in the bargain, the linear functional element may consist of a highly porous material strip with strong wetting capacity by sulfuric acid whose capillary pressure in the interconnecting pores draws the liquid against the force of gravity to a height of at least 50 cm.
	www.freepatentsonline.com /6103075.html (5751 words)

	Linear element with grafted nibs and method therefor (US3922455)
		Linear elements such as filaments having grafted nibs are disclosed.
		The linear element with grafted nibs or a yarn thereof can be used as a non-slip thread, as laces, and the like or they can be a component of woven and non-woven articles.
		A substantially linear element such as a thread, a wire, a monofilament, a yarn, a ribbon or the like is contacted with a static or agitated mass of nibs thereby causing same to become physically bonded to the linear element.
	www.delphion.com /details?pn=US03922455__ (335 words)

	Generic compiled linear and non-linear elements
		Element property function are thus expected to deal with topology independent aspects of element constant building for a given family of elements.
		Elements of this family are standard element functions (see section 7.14) and the element functions must thus return
		The generic linear element family assumes that the generalized strain components are linear functions of the shape functions and their derivatives in euclidian coordinates (xyz rather than rst).
	www.sdtools.com /help/mat_og.html (1618 words)

	CS 267 Assignment 1
		At a given load step in the linear elastic analysis of a structure, the state determination for the structural elements is trivial and does not require iteration to satisfy any form of equilibrium.
		This internal resistance is provided by the elements, where a second level of iteration is required to ensure that the loads transferred to the elements are equilibrated by the elements' resisting forces.
		In a sequential computing environment, elements are queried one by one for their tangent stiffness, which is then assembled into the global system of equilibrium equations.
	www.cs.berkeley.edu /~ejr/class-graveyard/2000-spring-cs267.gsi/assignments/assignment1-results/mhscott (570 words)

	[No title]
		The type of the element defined by name must be a linear element.
		Similarly, the x-rule, y- rule, and z-rule assignments specify whether the elements are to be generated linearly or logarithmically along the x, y, and z dimensions respectively.
		Similarly, the x-rule, and y- rule assignments specify whether the elements are to be generated linearly or logarithmically along the x and y dimensions, respectively.
	felt.sourceforge.net /corduroy.4.ascii (823 words)

	LINEAR FASTENING ELEMENT AND METHOD THEREFORE (US3863304)
		A linear fastening element is made by stringing a plurality of filament clusters, each of which is made from one or more intertwined filaments, on one or more linear members.
		The clusters are adapted to permit the gripping element such as a barbed hook to enter the interior thereto and to reversibly or permanently retain and hold the gripping element by filament engagement.
		The linear fastening element and gripping elements are used to join two articles such as a decorative wall covering or panel to sheet rock or wall studs.
	www.delphion.com /details?pn10=US03863304 (173 words)

	Linear Reference System - Wikipedia, the free encyclopedia
		The Linear Reference System (LRS) is a system used with the GRASS Geographic information system where features are localised by a measure along a linear element.
		The system is designed so that if a segment of a route is changed only those milepoints on the changed segment need to be updated.
		The LRS is suitable for management of data related to linear features like roads, railways and rivers.
	en.wikipedia.org /wiki/Linear_Reference_System (127 words)

	Mechanics of Solids: Finite elements 101
		The basic principle behind the finite element method is evidently exceedingly simple. The key to its success is to devise an implementation that minimizes the computational cost associated with calculating and storing the stiffness matrix, and solving the resulting system of linear equations.
		Within each element, we interpolate the displacement field through the nodes on that element only. So, we would use a linear interpolation between the nodes on a 2-noded element, a quadratic interpolation between the nodes on a 3 noded element, and so on.
		Generic linear and quadrilateral 1-D elements are illustrated below. The local nodes on the element are numbered 1 and 2 for the linear element, and 1,2,3 for the quadratic element as shown. We suppose that the element lies in the region
	www.engin.brown.edu /courses/En222/Notes/FEMtheory/FEMtheory.htm (2669 words)

	Generalized LRS Approach
		The actual linear element instances along which the measurement is taken is purposely de-coupled from the LRM.
		If the linear element (street block) begins at address 20 and ends with address 90, then the event occurring midway along the block would be approximately in front of the building at address 55.
		Routes are the most common type of linear element, despite the fact that they are so unsuitable as a foundation element; in addition to changes to the underlying roadway alignment, routes may be re-designated, moved to another roadway, or share roadways with other routes.
	www.bts.gov /programs/geographic_information_services/BTSWEB/GIS-T_99/Session_41/411.html (2866 words)

	BME 456: Fitting Biphasic Consitutive Model Constants
		The termed "finite element" is used to denote the fact that the original 3D geometry is broken up into a finite set of small elements.
		These elements represent a mathematical approximation to the displacement field that is usually a polynomial with unknown coefficients.
		This set of linear equations is the fundamental equations that are solved in ALL finite element approximations, no matter if they are time dependent or nonlinear.
	www.engin.umich.edu /class/bme456/cha11nonlinearfe/bme456nonlinearfe.htm (1953 words)

	[No title]
		The output is written element by element, local node by local node etc. This function may be of great help to gain a complete understanding of the numbering techniques.
		In each linear problem it is assumed that the total solution has its boundary conditions inserted and that the correction vector must have zeroes for all entries where the value is known.
		The number to be returned is max_e i-j+1, where e denotes an element and i and j are degree of freedom num bers in that element (i.e., i and j are unknowns in the element).
	www.diffpack.com /diffpack/refmanuals/dp30/DegFreeFE.html (3607 words)

	Finite Element Methods
		Numerical discretization methods, such as finite element procedures, have become an indispensable part of engineering research as well as engineering analysis and design, for the analysis of structures, solids, fluids and similar field problems.
		The one-term course on finite element methods intends to offer students an insight into the mechanical and mathematical foundations of numerical discretization methods, especially finite element methods, as well as demonstrating typical aspects of computer implementation of the appropriate algorithms.
		The extension of linear discretization methods, such as linear finite element methods, into the non-linear regime leads to a variety of new problems, starting from continuum mechanics formulation and ending with solution techniques for sets of non-linear differential equations.
	www.uni-weimar.de /projekte/gsse/course/finele/finele.html (467 words)

	Mathematics of Computation
		Piecewise linear finite element methods are not localized
		Abstract: Recent results of Schatz show that standard Galerkin finite element methods employing piecewise polynomial elements of degree two and higher to approximate solutions to elliptic boundary value problems are localized in the sense that the global dependence of pointwise errors is of higher order than the overall order of the error.
		We show via simple one-dimensional examples that Schatz's estimates are sharp in that localization indeed does not occur when piecewise linear elements are used.
	www.ams.org /mcom/2004-73-247/S0025-5718-03-01584-9/home.html (288 words)

	linear Element (Site not responding. Last check: 2007-11-01)
		The linear element defines the value of a param element at a particular time, relative to the start of the transition or effect that contains the param element.
		The linear element causes the parameter to make a smooth transition from its previous value to the new value.
		For an instantaneous jump to a new value, use the at element.
	msdn.microsoft.com /library/en-us/directshow/htm/linearelement.asp?frame=true (106 words)

	CALFEM Linear spring system (Site not responding. Last check: 2007-11-01)
		The general procedure in linear finite element calculations is carried out for a simple structure.
		Consider the system of three linear elastic springs, and the corresponding finite element model.
		Element forces are evaluated from the element displacements.
	www.byggmek.lth.se /Calfem/infoexs1.htm (338 words)

	NAFEMS How To Tackle Non-Linear Finite Element Analysis - publications - engineering analysis and simulation - FEA, ...
		It is not a reference book, and is primarily targeted at a person who has experience with linear finite element analyses (FEA) and now wants to undertake non-linear analyses.
		A typical reader could be a recent engineering undergraduate whose degree is likely to include linear finite element analysis, or a more experienced stress analyst who has currently only undertaken linear analyses.
		Such people will be familiar with the concepts of finite element analyses and need to be made aware of how this can be extended to include non-linearity.
	www.nafems.org /publications/browse_buy/nonlinear/HT19 (573 words)

	Dimensional Model Reduction in Non-linear Finite Element Dynamics of Solids and Structures (Site not responding. Last check: 2007-11-01)
		A general approach to the dimensional reduction of non-linear finite element models of solid dynamics is presented.
		Because of this `global' time viewpoint, the basis need not be updated as with reduced bases computed from a linearization of the full finite element model.
		If the dynamics of a finite element model is expressed in terms of a small number of basis vectors, the asymptotic cost of the solution with the reduced model is lowered and optimal scalability of the computational algorithm with the size of the model is achieved.
	www.cds.caltech.edu /~marsden/bib/2001/03-KrLaMa2001 (296 words)

	Master Element Library - ALGOR, Inc. Products
		Von Mises curve with isotropic hardening tetrahedral element with midside nodes
		Von Mises with isotropic hardening tetrahedral element with midside nodes
		Von Mises with kinematic hardening tetrahedral element with midside nodes
	www.algor.com /products/element_lib/default.asp (1595 words)

	Orðasafn: L
		linear closure línuleg lokun, -> linear span, -> affine closure.
		linear projective mapping varpmótun, línuleg varpmótun, = projective collineation, = projective mapping, = projective transformation, -> collineation, -> collineatory transformation, -> homography 2.
		linear span línuleg spönn, línulegur hjúpur, -> linear closure, -> affine closure.
	www.hi.is /~mmh/ord/safn/safnL.html (2028 words)

	Linear finite element techniques
		According to Euler's law, the number of vertices of a triangular faced polyhedron is half of the number of its faces plus two.
		Thus the size of the linear equation is almost the same as for the number of quadrilaterals used in the original method.
		There is no need for double integration and thus the linear approximation requires a simpler numerical integration to calculate the form factors than constant approximation.
	www.fsz.bme.hu /~szirmay/radiosit/node18.html (506 words)

	Amazon.ca: Non-Linear Finite Element Analysis of Solids and Structures, Volume 1, Essentials: Books: M. A. Crisfield (Site not responding. Last check: 2007-11-01)
		Non-linear Finite Element Analysis of Solids and Structures Volume 1 : Essentials M.A. Crisfield Imperial College of Science, Technology and Medicine, London, UK Taking an engineering rather than a mathematical bias, this comprehensive book details the fundamentals of non-linear finite element analysis.
		The main ideas of geometric non-linearity, continuum mechanics, plasticity, element technology and stability theory are explored in detail.
		These useful finite element computer programs illustrate many of the ideas considered in the book.
	www.amazon.ca /Non-Linear-Element-Analysis-Structures-Essentials/dp/047197059X (595 words)

	2-2 Composites and Linear Arrays
		Fabricate a 48 element linear array and test using the flexible beamformer developed concurrently at PSU.
		This composite was incorporated into a linear array design with a single matching layer and an element to element pitch of greater than one wavelength.
		Several prototype 4 element 30 MHz linear arrays, using element pitches of 0.066mm and 0.100mm, were constructed in our laboratory.
	bioeng.psu.edu /labs/NIH/NIH_linear.html (770 words)

	Non-linear Finite Element Analysis
		COURSE OBJECTIVE: To give a critical survey of the state-of-the-art of finite element methods in solid and structural mechanics with emphasis on nonlinear problems.
		The fundamental continuum mechanical background and the computer implementations of various techniques will be covered up to a level that enables the student to read and understand current professional literature in the field.
		Recent improvements of reliability and quality assurance procedures in the finite element computations will be demonstrated and their impact on the engineering decision-making process discussed.
	www.hallf.kth.se /~mart/kursVT98-1.html (491 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		To analyze the circuit, it is important to know the characteristic of the nonlinear element and the characteristic of the circuit at the point where the nonlinear element is connected.
		The characteristic of the circuit can be determined with linear circuit analysis if all the linear element values are known or in the case of a "fl box", the characteristic of the circuit may be determined experimentally.
		The nonlinear elements are: a diode, a light emitting diode (LED) and a hypothetical nonlinear element (the equation is given).
	www.coe.uncc.edu /~jcarter/etee3153/3153-2dl.doc (1970 words)

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