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w ist tatsächlich das Formelzeichen für die Durchbiegung. Referenzen hierzu siehe in meinem Nachtrag.
w is the formula sign for deflection, see annexes to my proposal
"w" is a common notation (in German texts) for deflections (normally in mm). From your quotes it is evident that "Durchbiegungsfläche" and "Verformungsfläche" are used synonymously, and that they might be translated as "deflected surface" and "deformed surface", respectively.
The units are in mm alright. If it's a mistake, it's one that's made consistently throughout the document (there are at least 50 drawings that used mm for "fläche" and none that didn't). I may be wrong, but I assumed the "w" stands for the English "width" and that this is all correct because the length of the deformation is defined by the length of the test sample, as deformation is only being measured on one dimension.
Sorry Phil, I thought this time I'd posted enough!
There are a series of test photographs with no discussion around them, showing an array of different test results.
In amongst them are a series of pictures of labelled "Durrchbiegungsfläche" (e.g "Durchbiegungsfläche (max w=223,1 mm)").
Then later in the text there's an other battery of practically identical texts, though this time they're marked "Verformungsfläche" (e.g. "Verformungsfläche (Max w=179, 3 mm)"). In both cases, they're followed by a battery of "Hauptverspannung" text results.
In both cases they preceded by the results of a battery of "Blocklast" test results.
... that you bent things on purpose to make things (that go around corners, for example) and that deformation is what happens when you accidentally drop things on them.
Explanation: Under applied pressures, temperatures,etc- the resistive capacities are being tested for deformation, basically. They are similar in meaning, literally bending and deformation.
Oliver Toogood Native speaker of: English PRO pts in category: 4
Explanation: Durchbiegung f (unter Last) / deflection n, deflexion n |
~biegung (der Feder) (Masch) /
deflection n (of a spring), stroke n |
~biegung der Platte / plate bending |
~biegung durch eigene Last (Mach) / natural sag |
~biegung unter Last f ( (masch) / deflection at load |
:
Verformung (als absichtliche Formgebung ) / forming n, shaping n |
~ (Verzerrung )(Fernm) / distortion n |
(Gestalt- und Volumenänderung eines Körpers nach DIN 13316 und 13343) (Mech) / deformation n, strain n |
elastische ~ (Mecha) / elastic deformation | plastisch ~ (Mech) / plastic deformation < f unter Belastung (Mech) / deformation under load
(Kucera, Wörterbuch der exakten Naturwissenschaften und der Technik)
Anmerkung: In o.g. Fachwörterbuch (1500 Seiten) finden sich keine Ausdrücke wie „Durchbiegungsfläche/-last“ oder „Verformungsfläche/-last“. Gemeint sind hier die von einer Last oder Belastung durchgebogene oder verformten Bereiche. Gemäß Jaimes Diskussionsbeiträgen handelt es sich nicht nämlich um eine "Last", sondern um eine "Fläche."
Hierfür könnte man die Wörter "plate" oder "surface" einsetzen, z.B.: "buckled surface" oder "buckled plate" (da es sich um die Durchbiegung einer Fläche, und nicht eines Balkens handelt)
We present a scalable patterning method based on surface plate buckling, or crumpling, to generate a variety of topographies that can dynamically change shape and aspect ratio in response to stimuli.
:
As a result, the circular plates buckle under lateral compression and form equilibrium structures with high curvatures, due to the plate’s preference for bending. http://www.esm.vt.edu/~dpholmes/DPH-CrumpledSurfaceStructure...
Wie von Jaime beschrieben (siehe Diskussion) wird die Durchbiegungsfläche eindimensional beschrieben (w = width = Breite). Das kann ein Durchmesser sein, aber auch eine Längen- oder Höhenangabe.
The deflection (Durchbiegung) has the symbol "w" and is measured in mm, see below:
Im einfachsten Fall wird ein Balken anhand der Gleichung der Biegelinie, einer linearen inhomogenen Differentialgleichung berechnet. Sie stellt einen Zusammenhang zwischen der Durchbiegung w (in y-Richtung) und der Streckenlast (Gewicht pro Strecke) q als Funktion der Koordinate x entlang der Balkenachse her. http://de.wikipedia.org/wiki/Balkentheorie
The curve w(x) describes the deflection w of the beam at some position x (recall that the beam is modeled as a one-dimensional object). q is a distributed load, in other words a force per unit length (analogous to pressure being a force per area); it may be a function of x, w, or other variables. http://en.wikipedia.org/wiki/Euler–Bernoulli_beam_equation
Bending of plates or plate bending refers to the deflection of a plate perpendicular to the plane of the plate under the action of external forces and moments. The amount of deflection can be determined by solving the differential equations of an appropriate plate theory.
:
For isotropic, homogeneous, plates with Young's modulus E and Poisson's ratio ν these equations reduce to[2]
(formula)
where w(x1,x2) is the deflection of the mid-surface of the plate. http://en.wikipedia.org/wiki/Bending_of_plates
Johannes Gleim Local time: 00:37 Works in field Native speaker of: German PRO pts in category: 200