Musterzeichnungen für Betriebsmittel der Preussischen Staatseisenbahnen: Musterzeichnungen für Betriebsmittel der Preussischen Staatseisenbahnen

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Multivolume work

Persistent identifier:: 1013588509

Title:: Musterzeichnungen für Betriebsmittel der Preussischen Staatseisenbahnen

Year of publication:: 1897

Place of publication:: [Erscheinungsort nicht ermittelbar]

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 1013588509

Language:: German

Other Title:: Nebentitel: Normalien für Betriebsmittel der Preussischen Staatsbahnen

Author:: Preußische Staatseisenbahnen

Document type:: Multivolume work

Volume

Persistent identifier:: 1013619633

Title:: Musterzeichnungen für Betriebsmittel der Preussischen Staatseisenbahnen

Scope:: circa 16 ungezählte Blätter

Info on language/writing:: Textliches in Fraktur

DOI:: 10.14463/GBV:1013619633

Year of publication:: 1897

Place of publication:: [Erscheinungsort nicht ermittelbar]

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 1013619633

Signature of the source:: gr. 2 d 3832(13/14)

Language:: German

Additional Notes:: Inhalt: Band 13: Zughaken, Puffer, Federn für Lokomotiven, Tender und Wagen , Abmessungen für Schrauben und Bolzen; Band 14: Gesamtansichten von Heißdampf-Schnellzug-Lokomotiven

Usage licence:: Public Domain Mark 1.0

Author:: Preußische Staatseisenbahnen

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2018

Document type:: Volume

Collection:: Traffic engineering

Section

Title:: Fünfachsige Heißdampf-Schnellzuglokomotive mit vier gleichen Zylindern und zweiachsigem vorderen Drehgestell, 1980 mm großen Triebrädern und Schmidtschem Rauchrohrüberhitzer.

Document type:: Multivolume work

Structure type:: Section

304 CONTACT OF [124. satisfied at a common element, we may also suppose that the equations J!£-=o. J9-=o, -?^=o dctiddj ’ dciidxj ’ dxidxj ’ for f and y = 1, 2, n but unequal to one another, also are satisfied. Consider, first, small variations along the singular integral in the vicinity of the common element: these can be represented by dx l , ..., dx n . There is no variation of z, for z is steadily zero: the small variations give rise to variations of a 1} ..., a n , which may be represented by 8a u ..., Sa n . All these variations are to be subject to the equations £ = 0, d(f> dx r = 0, for r = 1, ..., n: hence, taking account of all the quantities that vanish, we have 0 <£ , 0 7 A o—n oa r + =—dx r = 0, oa/ da r ox r 0 2 </> s , 0 2 $ 7 n =—A- ba r + 7—^ dx r — 0, ox r oa r ox/ for r= 1, ..., n. Consequently, other n equations d 2 <f> d 2 (f) _ / 0 3 0 \ 2 da 2 dx r 2 \da r dxj are satisfied at the common element: these replace n of the equations containing differential elements; and the other n of those equations give the variations Scq, ..., 8a n , belonging to the singular integral and determined by means of dx 1} dx n . Hence, at the common element, we may take d 2 (j) _ d 2 (f> _ 2 d 2 cj) dx r 2 dx r da r da r 2 ' Now consider a general integral possessing the element at the origin; and suppose that it is of class m, that is, such that m relations are postulated among the n 'quantities a 1} a n . We require variations along the general integral, determined by dxj, ..., dx n : these may be denoted by da 1 , ..., da n : and then the m postulated relations may be taken in the differential form dai Ci t m+1 da rn+1 -I-... da n , da m c iHi> rn+ida rn+1 -f- ... Cm,n.da n .

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