## Vector space with projections and forces

Maple 18

With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.

Vector_space_with_projections_and_forces_UPDATED.mw

Movie #01

Movie #02

Movie #03

Lenin Araujo Castillo

## Report Generation with Experimental Data Received...

by: Maple 2017

Dear Users,

I have received a congratulations from a Mapleprime user for my post (on Finite Element Analysis - Basics) posted two years earlier. I  did not touch that subject for two years for obvious reasons. Now that a motivation has come, I have decided to post my second application using embedded components. This I was working for the past two years and with the support from Maplesoft technical support team and Dr.RobertLopez. I thank them here for this workbook has come out well to my satisfaction and has given me confidence to post it public.

I have tried to improve the performance of a 2-Stroke gasoline engine to match that of a four stroke engine by using exhaust gas recirculation. Orifice concept is new and by changing the orifice diameter and varying the % of EGR, performance was monitored and data stored in Excel workbook. These data can be imported to Maple workbook by you as you want for each performance characteristic. The data are only my experimental and not authentic for any commercial use.

This Maple workbook generates curves from data for various experiments conducted by modifying the field variables namely Orifice diameter, % Exhaust gas Recirculation and Heat Exchanger Cooling. Hence optimum design selection is possible for best performance.

Thanks for commenting, congratulating or critisising!! All for my learning and improving my Maple understanding!!

## Plot of Position Vector in Maple

Maple 18

As you can see this app performs the trace of a given path r (t), then locate the position vector in a specific time. It also graphs the velocity vector, acceleration, Tangential and Normal unit vectors, along with the Binormal. Very good app developed entirely in Maple for our engineering students.

Plot_of_Position_Vector_UPDATED.mw

https://youtu.be/OzAwShHHXq8

Lenin Araujo Castillo

## App for fluids in flat state of rest

Maple 2016

This app is used to study the behavior of water in its different properties besides air. Also included is the study of the fluids in the state of rest ie the pressure generated on a flat surface. Integral developed in Maple for the community of users in space to the civil engineers.

App_for_fluids_in_flat_state_of_rest.mw

Lenin Araujo Castillo

## Kinematics using syntax in Maple

Maple 18

In this file you will be able to observe and analyze how the exercises and problems of Kinematics and Dynamics are solved using the commands and operators through a very well-structured syntax; Allowing me to save time and use it in interpretation. I hope you can share and spread to break the traditional and unnecessary myths. Only for Engineering and Science. Share if you like.

In Spanish.

Kinematics_using_syntax_in_Maple.mw

Lenin Araujo Castillo

## How do I get Up to Speed in Maple for Graduate Cla...

Recently, entered a engineering graduate program and will be taking a graduate engineering class in my retirement.  In our Into classes we reviewed engineering math through ODE. In the second class, we performed some numerical methods using MatLab with a small introduction.  My formal Math wass in the 1980s, but now have to fire it up for a Engineering Analysis using Michael Greenberg's Advanced Engineering Mathematics, 2nd which has Maple imbedded code and directions.

What would be my assignment for getting up to speed with using Maple to solve algebraic-symbol-programming problems? For instance, which tutorials in what order, or webinars? i think I once had Fortran 77 and remember zip.

MathMan2

## Thermal Engineering Application Collection

by: Maple 2016

We've added a collection of thermal engineering applications to the Application Center. You could think of it as an e-book.

This collection has a few features that I think are pretty neat

• The applications are collected together in a Workbook; a single file gives you access to 30 applications
• You can change working fluids and operating conditions, while still using accurate thermophysical data

If you don't have Maple 2016, you can view and navigate the applications (and interactive with a few) using the free Player.

The collection includes these applications.

• Psychrometric Modeling
• Swamp Cooler
• Human Comfort Zone
• Dew Point and Wet Bulb Temperature
• Interactive Psychrometric Chart
• Thermodynamic Cycles
• Ideal Brayton Cycle
• Optimize a Rankine Cycle
• Efficiency of a Rankine Cycle
• Turbine Analysis
• Organic Rankine Cycle
• Isothermal Compression of Methane
• Refrigeration
• COP of a Refrigeration Cycle
• Flow Through an Expansion Valve
• Food Refrigeration
• Rate of Refrigerant Boiling
• Refrigeration Cycle Analysis 1
• Refrigeration Cycle Analysis 2
• Miscellaneous
• Measurement Error in a Manometer
• Particle Falling Through Air
• Saturation Temperature of Fluids
• Water Fountain
• Water in Piston
• Heat Transfer
• Dittus-Boelter Correlation
• Double Pipe Heat Exchanger
• Energy Needed to Vaporize Ethanol
• Heat Transfer Coefficient Across a Flat Plate
• Vapor-Liquid Equilibria
• Water-Ethanol

I have a few ideas for more themed Maple application collections. Data analysis, anyone?

## New Thermal Engineering Applications on Application...

by: Maple 2016

Valery Ochkov and Volodymyr Voloshchuk have developed a series of thermal engineering applications in Maple 2016. The applications explore steam turbine power generation and refrigeration cycles, and use the ThermophysicalData package for fluid properties.

Their work can be found at the following locations on the Application Center.

I especially like

• this application, which optimizes the extraction pressures of a steam turbine to maximize its efficiency,
• and this application, which plots the state of a two-stage refrigeration cycle on a pressure-enthalpy chart.

## Static for Engineering

Maple 2015

In this course you will learn automatically using Maple course Statics applied to civil engineering especially noting the use of components properly. Let us see the use of Maple to Engineering.

Static_for_Engineering.mw

(in spanish)

Atte.

Lenin Araujo Castillo

## Electrical units...

Hello, I'm new to Maple and have a problem with making some electrical engineering.

I miss the unit VA (volt-ampere) which is used in AC. Maple won't recognize it and when I type it separately it changes to W (watt).

Hope someone can help me, thank!

By the way, how do you insert "Maple Code" in here?

## Generation of math apps in dynamic systems engineering...

Maple 2015

ABSTRACT. In this paper we demonstrate how the simulation of dynamic systems engineering has been implemented with graphics software algorithms using maple and MapleSim. Today, many of our researchers the computational modeling performed by inserting a piece of code from static work; with these packages we have implemented through the automation components of kinematics and dynamics of solids simple to complex.

It is very important to note that once developed equations study; recently we can move to the simulation; to thereby start the physical construction of the system. We will use mathematical and computational methods using the embedded buttons which lie in the dynamics leaves and viewing platform cloud of Maplesoft and power MapleNet for online evaluation of specialists in the area. Finally they will see some work done; which integrate various mechanical and computational concepts implemented for companies in real time and pattern of credibility.

Selasi_2015.pdf

(in spanish)

Lenin Araujo Castillo

## Modeling and analysis of mechanical systems with...

Maple 2015

In this paper we will demonstrate the many differences of implementation in the modeling of mechanical systems using embedded components through Maplesoft. The mechanical systems are used for different tasks and therefore have different structure in its design; as to the nature of the used functional elements placed on them, they vary greatly. This diversity is reflected in approaches and practices in modeling.

The following cases focus on mechanical components of the units manufacturing and processing machines. We can generate graphs for analysis using different dynamic pair ametros; all in real-time considerations in its manufacturing costs from the equations of conservation of energy.
Therefore modeling with Maplesoft ensures the smooth optimum performance in mechanical systems, highlighting the sustainability criteria for other areas of engineering.

XXXIII_Coloquio_SMP_2015.pdf

XXXIII_Coloquio_UNASAM_2015.mw

(in spanish)

L.AraujoC.

## Vector Analysis for Engineering: Using Maplesoft...

Maple 2015

In this work the theme of vector analysis shown from a computational point of view; this being a very important role in the engineering component; in civil and mechanical special it is why, using the scientific software Maple develops interactive solutions for long processes through MapleCloud calculations. At present the majority of professors / researchers perform static classes open source leaves; so that our students learn and memorize commands, thus generating more time learning in the area. Loading Bookseller VectorCalculus develop topics: vector algebra, differential operators, conservative fields, etc. Maplesoft making processes provide immediate calculations long operation Embedded Components displayed in line with MapleNet integrations. Today our future engineers to design solutions and will be launched in the cloud thus being a process with global qualification in the specialty. Significantly Maple is a scientific software which allows the researcher to design their own innovations and not use themes for their manufacturers.

III_CRF_2015.pdf

CRF_2015.mw

L.AraujoC.

## Study of the Dynamics of the Solid

In this paper of presents under a totally modern sound environment dynamics; using embedded components that gives us the Cybernet Company through its product Maple 2015. Using classical techniques vector equations describe the particle, particle system and solid bodies. We note that the solutions o ered by this software motivate students civil and mechanical engineering to nd optimal answers. Integrating algorithms own programming language and solid mechanics using buttons we relate the movement of translation and rotation with reference to its center of mass.
Choosing envelopes graphical methods, functional programming and mathematical computer display modeling reached alternatives to achieve the next generation of engineers. Therefore this work show that the use of
embedded components allow us to merge the traditional and the computer; It means that all these equations using physical and propose viable criteria we perform in a dynamic sheet; which they have a number of components; then generate simulations with real objects.

Congreso COMAP 2015.pdf

Study of the Dynamics of the Solid with Embedded Components in Civil Engineering with Maplesoft.mw

(in spanish)

L.AraujoC.

## A Mathematical Software for All Serious Researcher...

by: Maple

For the past thirty years, I have used several mathematical packages for problem solving and graphing. It all started with spreadsheet software that really helped speedup calculations compared to calculators. As many people do, once I had one tool I then started looking for another that would offer even more capabilities and features. I tested several of the very early math software but none really did all that I wanted until I came across Maple while I was working at SPAR Aerospace in Canada. For me, the rest is history. As long as I had a copy of Maple, it was all that I needed.

On occasions when I did not have a copy of this amazing software, I resorted to spreadsheets once more to complete fairly large and complex projects involving large databases and large numbers of calculations, especially when performing What-If scenarios. One distinct disadvantage of using a spreadsheet was the cryptic form of equation writing. I had to divide one long equation into several sections in different cells and then add them all up, which clearly is not good for documentation of the calculations. It is also very confusing for other engineers to know what that equation is or what it does. The development of the full engineering spreadsheet took months to complete, debug and verify. During this process, when I had errors, it was often very difficult to track exactly where the problem was, making the debugging process time consuming and sometimes very frustrating.

Having worked with Maple before, I remembered how easy it was to enter equations in a very familiar, readable math format. The real power of this software is that it allows you to write the equation(s) anyway you like and solve for any given parameter, unlike spreadsheets where you have to solve the problem first, by hand, for the parameter you want and then get the spreadsheet to calculate the value. I remember one time a few years ago when I wrote nine or ten simultaneous differential equations all in symbolic form and asked Maple to calculate certain parameters in a fully symbolic form. To my utmost disbelief, the answer came back within few minutes. With results in hand, I was able to quickly finish my research, and the results were published at PCIM Europe 2005 in “Distributed Gate ESR and its Effect on Shoot Through Performance at the Die Level”. I would never have gotten the results I needed if I was using a spreadsheet.

Even with much simpler systems of equations, finding solutions with a paper and pencil was never an easy task for me. It took a very long time, and even then there was no guarantee that I did not make copying errors, accidentally leave out a term, or make a calculation error. After I found the correct solution, I then had the problem of plotting the results, which I often needed in 3-D. Plotting allowed much deeper insights into the interdependency of all the parameters and made it easy for me to concentrate on the important ones without wasting any time. I was very happy when I could pass all these tasks onto Maple, which could do them much faster and more reliably then I ever could. Maple is a software that allows me to go beyond routine engineering calculations and gives me the tools to reach levels of insight and understanding that were completely out of reach of the average engineer until a few years ago.

For the record, I have no business affiliations with Maplesoft. I’m writing this article because Maple makes such a difference in my work that I feel it is important to share my experiences so other engineers can get the same benefits.

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