Computer modeling influence lines of farm ele- ments

The article describes process of computer modeling of influence lines of each element of any section of farms with parallel belts and with diagonal elements in system Mathcad. The algorithm calculates and shows an influence lines in any chosen farm elements in any farm section with parallel belts and with diagonal elements. The proposed procedures of modeling an influence lines allow to decrease time and costs on execution of such calculations as minimum in ten times and efficiently to execute researches when farm elements parameters change.


Introduction
Computer modeling, designing and computation intended for decision of the diversified problems are receiving more and more propagation [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and allows: -to raise efficiency, accuracy and objectivity of received decisions; -to raise quality and reliability of created products, processes and systems; -to release the expert from routine and not creative activity; -to reduce volume of researches, time and cost of workings out. Wide use of computer modeling, designing and calculation especially at the earliest stages of creation of products, processes and systems allows to reduce huge losses at the next stages of cycles life.
The article describes process of computer modeling of influence lines of each element of any section of farms with parallel belts and with diagonal elements in system Mathcad.
Influence lines are used for calculation of many constructions which are under the influence of mobile loadings (farms of roadways; automobile and railway bridges, etc.). The question of unprofitable position of loading at which the size of settlement efforts in sections of elements of a design appears the greatest is solved with their help. Research objective -creation of algorithm and a complex of programs for automation of calculation and influence lines construction of all farm elements.
An influence line is the schedule showing change of size of effort in any farm element at movement of load unit. Process computer modeling influence lines we will be consider on an example of farm with parallel belts and diagonal elements fig. 1.

Theoretical basis
The algorithm of calculation of influence lines of each element of farm includes: 1. Definition vertical reactions RA(X) and RB(X) figure 1: 2. Definition effort H1(X, n) in a element S1(n). It's possible two variants: a) with load unit Р figure 2 a) or b) without Р fig. 2 b).

Fig. 2.
Definition schemes of effort H1(X,n) in element S1(n) for section n with load unit P located: а) before a node D; b) after a node D а) load unit operates before node D, X ≤ n ·d fig. 2 а): b) load unit operates after node D, X > n ·d fig. 2 b): 3. Definition of effort H2(X, n) in element S2(n). It's possible two variants: a) without load unit Р fig. 3 a) or b) with Р fig. 3 b).  Fig. 3. Definition schemes of effort H2(X,n) in element S2(n) for sections n with load unit P located: а) before; b) after farm node E а) load unit operates before node E fig. 3 а) (X ≤ (n-1)·d): b) load unit operates after node E fig. 3 b) (X > n·d): 4. Definition of effort D (X, n) in element S3(n). It's possible two variants: a) without load unit Р figure 4 a) or b) with Р fig. 4 b).

Conclusion
Basic results of researches scientific. Are created: 1. analytical expressions of forces in any farm elements depending on position load unit; 2. algorithm and a complex of programs for automation of calculation and influence lines representation on all farm elements in system Mathcad.
The proposed procedures of modeling influence lines allows to decrease time and labour costs for execution of such calculations as minimum in many times and efficiently to guide researches related to changing parameters in any farm elements.