Finding Mathematical Modeling Cases for Civil Engineering 15

I really haven't done anything like this.

1. The ability of modeling to truly transform the mathematical knowledge learned in simple and clear learning into practical problems at the end.

2. There will be a lot of problems that have never been encountered in modeling, and the situation of solving new problems has been exercised. When faced with a problem that is difficult to solve for days, patience and willpower are exercised.

3. Modeling is not a task that can be completed by one person, you will learn the division of labor and cooperation of the team, and discover and use your strengths.

In the process of modeling, it is necessary to reflect the essential things and their relationships, and remove the non-essential things that have little impact on the degree of objective truth, so that the model is simple and operable under the condition of ensuring a certain degree of accuracy, and the data is easy to collect.

It is very important to learn a modeling idea, it will be of great help in your later work life, I majored in mechanics as an undergraduate, and I also participated in mathematical modeling.

Yes, such as the wind tunnel test of the seismic model of the building, and the structural integrity test, you need to establish a model!

Application of Mathematical Modeling in Civil Engineering Earthwork Allocation, Manan Yingfanxiang, Guangxi Construction Vocational and Technical College, Public Course Teaching Department-Nanning, Guangxi (+$Abstract"In the construction of large-scale earthworks in civil engineering, mathematical models can be established with the help of linear programming knowledge in operations research - and after several operation steps, the optimal earthwork allocation scheme with the shortest transportation distance is finally determined to guide the construction - so as to reduce costs. The purpose of achieving better economic benefits is a quick keyword"Linear programming0 mathematical model0 operation method on the table 0 earthwork allocation, CLC number"1 **Document identification code"2. During the large-scale earthwork construction of civil engineering and construction projects - in order to achieve the purpose of reducing the cost and cost of the project - it is often necessary to formulate an earthwork deployment plan to guide the construction before construction - and at the site - many engineering construction personnel make plans often only based on some common sense and experience to make decisions Of course, sometimes a more satisfactory solution can be obtained by experience - but when the problem is more complex - experience and common sense alone will encounter great difficulties - and at this time, with the help of the linear programming knowledge of operations research, it is more convenient to obtain a well-defined optimal solution"A large earthwork site has 4

4+.4' Four Cut Zones -5

5+.5' four fill areas - which are dug accordingly. The amount of fill earthwork and the distance of each pair of allocation areas are shown in the following figure-It is required to determine the optimal scheme of earthwork allocation that makes the site with the shortest distance and the best benefit Figure Allocation area transportation distance map * earthwork allocation map * Volume 6 supplement * $$ year $ month Journal of Guangxi University) Natural Science Edition, 789:

9$Therefore, it is possible to use a special on-the-table operation method to solve the problem without referring to the artificial variable $, (when compiling the initial allocation scheme, when formulating the initial scheme, $ adopts the principle of giving priority to the allocation area with the smallest transportation distance, and the objective function can reduce the number of operations"!By the table! Knowing $ Unknown Quantity %(!

The minimum distance is $ due to *(6-000..))$6!000.

So from the * (heart!) 000.To +!

Medium is %(!.)6!000.

Due to?!Enough earthwork has been obtained$ so @!$ no longer gives earthwork $, i.e. a!

6a)!6a-!60$ in the corresponding box"(Then choose a square with the smallest distance and allocate $a-in the unallocated square) to guess the distance of the acre"10b#

000.)$6(000.)$ then %-)6!

000.$ thereby a-(6a--60,"Repeat the above steps$ each time to allocate the square with the smallest transportation distance$ according to the supply and demand requirements$ to meet the needs of the grid as much as possible$ and find other ACD values in turn$ to obtain the initial allocation scheme, as shown in Table (

a) The design of the parking lot.

In a town in New England, there is a 100,200 sq ft car park on the corner, and the owner asks you to design the arrangement of the parking spaces on your behalf, i.e. the design of the delineation on the site.

It is easy to understand that if the cars are arranged in a row at right angles to the parking line, one next to the other, the maximum number of cars can be crammed into the parking lot, but for those inexperienced drivers, it is difficult to park the cars in this way, and it can cause expensive insurance costs. In order to reduce the possibility of unexpected losses caused by parking, farm owners may have to hire some skilled drivers to park their cars specially; On the other hand, if there is a large enough turning radius from the aisle to the parking space, then it seems that most drivers can stop in place at one time without difficulty. Of course, the wider the aisle, the smaller the number of vehicles that can be accommodated in the yard, which will reduce the income of the owner.

2) The best time to eat in the canteen.

Since most of the classes have classes in the morning, resulting in crowding in the canteen at noon, it is more appropriate to analyze when the canteen will eat at noon based on the actual measurement data without changing the existing facilities of the canteen. Consider that if you eat too late, you will have very few meals to choose from.

A project has a project A and B two teams to cooperate for 6 days to complete, the manufacturer needs to pay a total of 8,700 yuan for the two teams A and B, B and C 2 teams to cooperate for 10 days to complete, the manufacturer needs to pay 9,500 yuan, A and C 2 teams to complete the 2 3 of all the project in 5 days, and the manufacturer needs to pay 5,500 yuan.

1) How many days does it take for teams A, B and C to complete the whole project alone?

2) If it is required to complete the project in no more than 15 days, which team will spend the least money to complete the project alone?