1.1 --- a/src/Tools/isac/IsacKnowledge/Biegelinie.thy Wed Aug 25 15:15:01 2010 +0200
1.2 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
1.3 @@ -1,82 +0,0 @@
1.4 -(* chapter 'Biegelinie' from the textbook:
1.5 - Timischl, Kaiser. Ingenieur-Mathematik 3. Wien 1999. p.268-271.
1.6 - author: Walther Neuper
1.7 - 050826,
1.8 - (c) due to copyright terms
1.9 -
1.10 -remove_thy"Biegelinie";
1.11 -use_thy"IsacKnowledge/Biegelinie";
1.12 -use_thy_only"IsacKnowledge/Biegelinie";
1.13 -
1.14 -remove_thy"Biegelinie";
1.15 -use_thy"IsacKnowledge/Isac";
1.16 -*)
1.17 -
1.18 -Biegelinie = Integrate + Equation + EqSystem +
1.19 -
1.20 -consts
1.21 -
1.22 - q_ :: real => real ("q'_") (* Streckenlast *)
1.23 - Q :: real => real (* Querkraft *)
1.24 - Q' :: real => real (* Ableitung der Querkraft *)
1.25 - M'_b :: real => real ("M'_b") (* Biegemoment *)
1.26 - M'_b' :: real => real ("M'_b'") (* Ableitung des Biegemoments *)
1.27 - y'' :: real => real (* 2.Ableitung der Biegeline *)
1.28 - y' :: real => real (* Neigung der Biegeline *)
1.29 -(*y :: real => real (* Biegeline *)*)
1.30 - EI :: real (* Biegesteifigkeit *)
1.31 -
1.32 - (*new Descriptions in the related problems*)
1.33 - Traegerlaenge :: real => una
1.34 - Streckenlast :: real => una
1.35 - BiegemomentVerlauf :: bool => una
1.36 - Biegelinie :: (real => real) => una
1.37 - Randbedingungen :: bool list => una
1.38 - RandbedingungenBiegung :: bool list => una
1.39 - RandbedingungenNeigung :: bool list => una
1.40 - RandbedingungenMoment :: bool list => una
1.41 - RandbedingungenQuerkraft :: bool list => una
1.42 - FunktionsVariable :: real => una
1.43 - Funktionen :: bool list => una
1.44 - Gleichungen :: bool list => una
1.45 -
1.46 - (*Script-names*)
1.47 - Biegelinie2Script :: "[real,real,real,real=>real,bool list,
1.48 - bool] => bool"
1.49 - ("((Script Biegelinie2Script (_ _ _ _ _ =))// (_))" 9)
1.50 - BiegelinieScript :: "[real,real,real,real=>real,bool list,bool list,
1.51 - bool] => bool"
1.52 - ("((Script BiegelinieScript (_ _ _ _ _ _ =))// (_))" 9)
1.53 - Biege2xIntegrierenScript :: "[real,real,real,bool,real=>real,bool list,
1.54 - bool] => bool"
1.55 - ("((Script Biege2xIntegrierenScript (_ _ _ _ _ _ =))// (_))" 9)
1.56 - Biege4x4SystemScript :: "[real,real,real,real=>real,bool list,
1.57 - bool] => bool"
1.58 - ("((Script Biege4x4SystemScript (_ _ _ _ _ =))// (_))" 9)
1.59 - Biege1xIntegrierenScript ::
1.60 - "[real,real,real,real=>real,bool list,bool list,bool list,
1.61 - bool] => bool"
1.62 - ("((Script Biege1xIntegrierenScript (_ _ _ _ _ _ _ =))// (_))" 9)
1.63 - Belastung2BiegelScript :: "[real,real,
1.64 - bool list] => bool list"
1.65 - ("((Script Belastung2BiegelScript (_ _ =))// (_))" 9)
1.66 - SetzeRandbedScript :: "[bool list,bool list,
1.67 - bool list] => bool list"
1.68 - ("((Script SetzeRandbedScript (_ _ =))// (_))" 9)
1.69 -
1.70 -rules
1.71 -
1.72 - Querkraft_Belastung "Q' x = -q_ x"
1.73 - Belastung_Querkraft "-q_ x = Q' x"
1.74 -
1.75 - Moment_Querkraft "M_b' x = Q x"
1.76 - Querkraft_Moment "Q x = M_b' x"
1.77 -
1.78 - Neigung_Moment "y'' x = -M_b x/ EI"
1.79 - Moment_Neigung "M_b x = -EI * y'' x"
1.80 -
1.81 - (*according to rls 'simplify_Integral': .. = 1/a * .. instead .. = ../ a*)
1.82 - make_fun_explicit "Not (a =!= 0) ==> (a * (f x) = b) = (f x = 1/a * b)"
1.83 -
1.84 -end
1.85 -