Manufacturing: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=198
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New applications in the Manufacturing category
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Manufacturing: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=198

Optimizing the Design of a Coil Spring
https://www.maplesoft.com/applications/view.aspx?SID=153608&ref=Feed
<p>The design optimization of helical springs is of considerable engineering interest, and demands strong solvers. While the number of constraints is small, the coil and wire diameters are raised to higher powers; this makes the optimization difficult for gradientbased solvers working in standard floatingpoint precision; a larger number of working digits is needed.</p>
<p>Maple lets you increase the number of digits used in calculations; hence numerically difficult problems, like this, can be solved.</p>
<p>This application minimizes the mass of a helical spring. The constraints include the minimum deflection, the minimum surge wave frequency and the maximum stress, and a loading condition.</p>
<ul>
<li>the minimum deflection, </li>
<li>the minimum surge wave frequency, </li>
<li>the maximum stress, </li>
<li>and a loading condition.</li>
</ul>
<p>The design variables are the</p>
<ul>
<li>diameter of the wire, </li>
<li>the outside diameter of the spring,</li>
<li>and the number of coils</li>
</ul>
<p> Reference: "Introduction to Optimum Design", Jasbir S. Arora, 3<sup>rd</sup> Edition 2012.</p>
<img src="https://www.maplesoft.com/view.aspx?si=153608/695d991fff8fb4975d1e1dcd90bb771d.gif" alt="Optimizing the Design of a Coil Spring" style="maxwidth: 25%;" align="left"/><p>The design optimization of helical springs is of considerable engineering interest, and demands strong solvers. While the number of constraints is small, the coil and wire diameters are raised to higher powers; this makes the optimization difficult for gradientbased solvers working in standard floatingpoint precision; a larger number of working digits is needed.</p>
<p>Maple lets you increase the number of digits used in calculations; hence numerically difficult problems, like this, can be solved.</p>
<p>This application minimizes the mass of a helical spring. The constraints include the minimum deflection, the minimum surge wave frequency and the maximum stress, and a loading condition.</p>
<ul>
<li>the minimum deflection, </li>
<li>the minimum surge wave frequency, </li>
<li>the maximum stress, </li>
<li>and a loading condition.</li>
</ul>
<p>The design variables are the</p>
<ul>
<li>diameter of the wire, </li>
<li>the outside diameter of the spring,</li>
<li>and the number of coils</li>
</ul>
<p> Reference: "Introduction to Optimum Design", Jasbir S. Arora, 3<sup>rd</sup> Edition 2012.</p>
https://www.maplesoft.com/applications/view.aspx?SID=153608&ref=Feed
Tue, 17 Jun 2014 04:00:00 Z
Samir Khan
Samir Khan

Optimizing the Design of a Fuel Pod with NX and Maple
https://www.maplesoft.com/applications/view.aspx?SID=153573&ref=Feed
<p>A manufacturer has designed a fuel pod in NX. The fuel pod has a hemispherical and conical end, and a cylindrical midsection. To minimize material costs, the manufacturer wants to minimize the surface area of the fuel pod while maintaining the existing volume.</p>
<p>This application:</p>
<ul>
<li>pulls the current dimensions of the fuel pod (radius of the hemispherical end, length of the cylindrical midsection, and height of the conical end) from the NX CAD model, </li>
<li>calculates the current volume of the fuel pod,</li>
<li>optimizes the dimensions to minimize the surface area while maintaining the existing volume,</li>
<li>and pushes the optimized dimensions back into the NX CAD model.</li>
</ul>
<p>NOTE: To use this application, you must</p>
<ul>
<li>have a supported version of NX installed, </li>
<li>load canisterOptimization.prt in NX (this is the CAD model of the fuel pod),</li>
<li>ensure the NXMaple link works correctly.</li>
</ul>
<img src="https://www.maplesoft.com/view.aspx?si=153573/fuelpod.jpg" alt="Optimizing the Design of a Fuel Pod with NX and Maple" style="maxwidth: 25%;" align="left"/><p>A manufacturer has designed a fuel pod in NX. The fuel pod has a hemispherical and conical end, and a cylindrical midsection. To minimize material costs, the manufacturer wants to minimize the surface area of the fuel pod while maintaining the existing volume.</p>
<p>This application:</p>
<ul>
<li>pulls the current dimensions of the fuel pod (radius of the hemispherical end, length of the cylindrical midsection, and height of the conical end) from the NX CAD model, </li>
<li>calculates the current volume of the fuel pod,</li>
<li>optimizes the dimensions to minimize the surface area while maintaining the existing volume,</li>
<li>and pushes the optimized dimensions back into the NX CAD model.</li>
</ul>
<p>NOTE: To use this application, you must</p>
<ul>
<li>have a supported version of NX installed, </li>
<li>load canisterOptimization.prt in NX (this is the CAD model of the fuel pod),</li>
<li>ensure the NXMaple link works correctly.</li>
</ul>
https://www.maplesoft.com/applications/view.aspx?SID=153573&ref=Feed
Wed, 07 May 2014 04:00:00 Z
Samir Khan
Samir Khan

Design of logarithmic spiral gear by closed complex function in to DXF format
https://www.maplesoft.com/applications/view.aspx?SID=95483&ref=Feed
The present worksheet deals with the complex algebraic representation of the gear tooth contact principles. The formulae deduced with the help of Maple software environment are closed form solution equations of the contact gear profile to a given rack profile. The worksheet make the final result of gear contour in DXF formatum directly.
<img src="https://www.maplesoft.com/view.aspx?si=95483/278843\30d63f44452b5fdc481d0e802c3751be.gif" alt="Design of logarithmic spiral gear by closed complex function in to DXF format" style="maxwidth: 25%;" align="left"/>The present worksheet deals with the complex algebraic representation of the gear tooth contact principles. The formulae deduced with the help of Maple software environment are closed form solution equations of the contact gear profile to a given rack profile. The worksheet make the final result of gear contour in DXF formatum directly.
https://www.maplesoft.com/applications/view.aspx?SID=95483&ref=Feed
Tue, 27 Jul 2010 04:00:00 Z
Dr. Laczik Bálint
Dr. Laczik Bálint

TensionControlling RolltoRoll Model
https://www.maplesoft.com/applications/view.aspx?SID=34922&ref=Feed
<p>In this model, the Feed Spool on the left feeds material to the Winder Spool on the right. Two DC motors control this process. The Feeder Controller sets the desired RPM of the Feeder Spool, which determines the material feed rate. The Winder Controller sets the desired tension. In the example, a 40cm wide, 1mm thick spool of polypropylene is fed a length of 1m between the rollers. First, at 1 second, the Winder Spool applies tension to the material at 10% of its yield strength. Next, at 3 seconds, the Feeder Spool is spun up to the desired RPM. The roller properties are set to 1cm thick stainless steel.</p>
<img src="https://www.maplesoft.com/view.aspx?si=34922/thumb.jpg" alt="TensionControlling RolltoRoll Model" style="maxwidth: 25%;" align="left"/><p>In this model, the Feed Spool on the left feeds material to the Winder Spool on the right. Two DC motors control this process. The Feeder Controller sets the desired RPM of the Feeder Spool, which determines the material feed rate. The Winder Controller sets the desired tension. In the example, a 40cm wide, 1mm thick spool of polypropylene is fed a length of 1m between the rollers. First, at 1 second, the Winder Spool applies tension to the material at 10% of its yield strength. Next, at 3 seconds, the Feeder Spool is spun up to the desired RPM. The roller properties are set to 1cm thick stainless steel.</p>
https://www.maplesoft.com/applications/view.aspx?SID=34922&ref=Feed
Mon, 07 Dec 2009 05:00:00 Z
Maplesoft
Maplesoft

Animation of the contour and end milling process
https://www.maplesoft.com/applications/view.aspx?SID=33071&ref=Feed
<p>The worksheet demonstrate the basic kinematic feautures of the contour and planar milling.</p>
<img src="https://www.maplesoft.com/view.aspx?si=33071/thumb.png" alt="Animation of the contour and end milling process" style="maxwidth: 25%;" align="left"/><p>The worksheet demonstrate the basic kinematic feautures of the contour and planar milling.</p>
https://www.maplesoft.com/applications/view.aspx?SID=33071&ref=Feed
Wed, 03 Jun 2009 04:00:00 Z
Dr. Laczik Bálint
Dr. Laczik Bálint

Plotting Capabilities for Engineers
https://www.maplesoft.com/applications/view.aspx?SID=6979&ref=Feed
Maple contains an extensive set of visualization tools and options, including many plots and options commonly used by engineers. This Tips & Techniques document demonstrates how to create and customize your plots using interactive techniques and command options, with emphasis on options used in engineering contexts.
<img src="https://www.maplesoft.com/view.aspx?si=6979/thumb.gif" alt="Plotting Capabilities for Engineers" style="maxwidth: 25%;" align="left"/>Maple contains an extensive set of visualization tools and options, including many plots and options commonly used by engineers. This Tips & Techniques document demonstrates how to create and customize your plots using interactive techniques and command options, with emphasis on options used in engineering contexts.
https://www.maplesoft.com/applications/view.aspx?SID=6979&ref=Feed
Wed, 03 Dec 2008 05:00:00 Z
Maplesoft
Maplesoft

Robot Arm Modeling
https://www.maplesoft.com/applications/view.aspx?SID=6850&ref=Feed
This application implements a mathematical model of robots based on the homogenous transformation of Denavit & Hartenberg. The worksheet derives the matrix of D&H, and applies it to the motion of a robot "elbow". An animation of the robot's motion is included .
<img src="https://www.maplesoft.com/view.aspx?si=6850/thumb.gif" alt="Robot Arm Modeling" style="maxwidth: 25%;" align="left"/>This application implements a mathematical model of robots based on the homogenous transformation of Denavit & Hartenberg. The worksheet derives the matrix of D&H, and applies it to the motion of a robot "elbow". An animation of the robot's motion is included .
https://www.maplesoft.com/applications/view.aspx?SID=6850&ref=Feed
Mon, 03 Nov 2008 00:00:00 Z
Dr. Laczik Bálint
Dr. Laczik Bálint

Finding the Shortest Smooth Path for a Robot
https://www.maplesoft.com/applications/view.aspx?SID=4376&ref=Feed
This worksheet demonstrates the use of Maple for finding the shortest smooth path for the path of a robot in the area of manufacturing. It illustrates how spline interpolation can be used to determine this path.
<img src="https://www.maplesoft.com/view.aspx?si=4376/1172.jpg" alt="Finding the Shortest Smooth Path for a Robot" style="maxwidth: 25%;" align="left"/>This worksheet demonstrates the use of Maple for finding the shortest smooth path for the path of a robot in the area of manufacturing. It illustrates how spline interpolation can be used to determine this path.
https://www.maplesoft.com/applications/view.aspx?SID=4376&ref=Feed
Thu, 17 Apr 2003 10:37:50 Z
Dr. Autar Kaw
Dr. Autar Kaw

Monotonic Plastic Zone Size for Plane Stress and Plane Strain
https://www.maplesoft.com/applications/view.aspx?SID=4249&ref=Feed
This worksheet demonstrates the use of Maple for calculate plastic zone shapes and sizes for plane stress and plane strain for cracks under static loading. The sizes of plastic zones were obtained by equaling VonMises criteria (using Irwin's elastic solutions), to monotonic yield strength of material (Sy). For this reason, the shape and size of plastic zones showed here do not take into account the strain hardening of material within plastic zone. Sizes in polar coordinates r and theta are functions of quadratic relation between elastic stress intensity factor K and Sy (K/Sy)^2. For a established angle theta, the graphic shows the estimated sizes of plastic zones (coordinate r, in meters) for different relations of (K/Sy)^2. Parameters of procedure "plastic_zones" are n, Sy, Kini, Kfin and material, where n is the number of frames, Sy is the yield strength of material (in MPa), Kini and Kfin are the initial and final stress intensity factors (in MPa*m^1/2), respectively, which define the view frame.
<img src="https://www.maplesoft.com/view.aspx?si=4249//applications/images/app_image_blank_lg.jpg" alt="Monotonic Plastic Zone Size for Plane Stress and Plane Strain" style="maxwidth: 25%;" align="left"/>This worksheet demonstrates the use of Maple for calculate plastic zone shapes and sizes for plane stress and plane strain for cracks under static loading. The sizes of plastic zones were obtained by equaling VonMises criteria (using Irwin's elastic solutions), to monotonic yield strength of material (Sy). For this reason, the shape and size of plastic zones showed here do not take into account the strain hardening of material within plastic zone. Sizes in polar coordinates r and theta are functions of quadratic relation between elastic stress intensity factor K and Sy (K/Sy)^2. For a established angle theta, the graphic shows the estimated sizes of plastic zones (coordinate r, in meters) for different relations of (K/Sy)^2. Parameters of procedure "plastic_zones" are n, Sy, Kini, Kfin and material, where n is the number of frames, Sy is the yield strength of material (in MPa), Kini and Kfin are the initial and final stress intensity factors (in MPa*m^1/2), respectively, which define the view frame.
https://www.maplesoft.com/applications/view.aspx?SID=4249&ref=Feed
Thu, 04 Apr 2002 15:14:31 Z
Jorge Durán
Jorge Durán

Brake design and costing II: creating the Maple package
https://www.maplesoft.com/applications/view.aspx?SID=3770&ref=Feed
This worksheet details the process required to convert the Brake Analysis Solution worksheet into a Maple package. In Brake Design and Costing III, the resulting 'brake' package is incorporated into a dynamic Microsoft© Excel 2000/Maple worksheet; using the Maple Excel Addin.
<img src="https://www.maplesoft.com/view.aspx?si=3770//applications/images/app_image_blank_lg.jpg" alt="Brake design and costing II: creating the Maple package" style="maxwidth: 25%;" align="left"/>This worksheet details the process required to convert the Brake Analysis Solution worksheet into a Maple package. In Brake Design and Costing III, the resulting 'brake' package is incorporated into a dynamic Microsoft© Excel 2000/Maple worksheet; using the Maple Excel Addin.
https://www.maplesoft.com/applications/view.aspx?SID=3770&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Maplesoft
Maplesoft

Aircraft landing gear simulation and analysis
https://www.maplesoft.com/applications/view.aspx?SID=3782&ref=Feed
A computer aided graphical synthesis was undertaken to understand the kinematics of a nose wheel landing gear mechanism such as that on the Lockheed F16 using Working Model software. The mobility of the design was verified by computer animation. Computer modeling and finite element analysis are explored to analyze stresses developed while landing at normal sink rates. The deflections of the main spring gear are calculated and the internal stresses evaluated utilizing the finite element program Stardyne (Research Engineers, Inc.). The results of the modeling and simulation are discussed in this paper.
<img src="https://www.maplesoft.com/view.aspx?si=3782//applications/images/app_image_blank_lg.jpg" alt="Aircraft landing gear simulation and analysis" style="maxwidth: 25%;" align="left"/>A computer aided graphical synthesis was undertaken to understand the kinematics of a nose wheel landing gear mechanism such as that on the Lockheed F16 using Working Model software. The mobility of the design was verified by computer animation. Computer modeling and finite element analysis are explored to analyze stresses developed while landing at normal sink rates. The deflections of the main spring gear are calculated and the internal stresses evaluated utilizing the finite element program Stardyne (Research Engineers, Inc.). The results of the modeling and simulation are discussed in this paper.
https://www.maplesoft.com/applications/view.aspx?SID=3782&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Derek Morrison
Derek Morrison

Gear hobbing 2
https://www.maplesoft.com/applications/view.aspx?SID=3780&ref=Feed
Geometric Simulation of Involute Gear Hobbing in Transverse Section
<img src="https://www.maplesoft.com/view.aspx?si=3780/gear.gif" alt="Gear hobbing 2" style="maxwidth: 25%;" align="left"/>Geometric Simulation of Involute Gear Hobbing in Transverse Section
https://www.maplesoft.com/applications/view.aspx?SID=3780&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Dr. Laczik Bálint
Dr. Laczik Bálint

Reliability of a power system: MTBF & availability
https://www.maplesoft.com/applications/view.aspx?SID=3772&ref=Feed
This worksheet demonstrates the use of Maple for computing system reliability and availability for a fault tolerant power system. It illustrates how symbolic expressions for these quantities can be readily calculated using the networks package and a few additional procedures.
<img src="https://www.maplesoft.com/view.aspx?si=3772//applications/images/app_image_blank_lg.jpg" alt="Reliability of a power system: MTBF & availability" style="maxwidth: 25%;" align="left"/>This worksheet demonstrates the use of Maple for computing system reliability and availability for a fault tolerant power system. It illustrates how symbolic expressions for these quantities can be readily calculated using the networks package and a few additional procedures.
https://www.maplesoft.com/applications/view.aspx?SID=3772&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Joseph Riel
Joseph Riel

Fitting a circle to data using a linear model
https://www.maplesoft.com/applications/view.aspx?SID=3776&ref=Feed
This worksheet demonstrates how Maple can be used to fit a circle to a set of datapoints. If a set of datapoints are known to lie on a circle, the average quadratic distance of the points from a circle should be minimized. This problem can be written so that it is linear in the parameters to be determined.
<img src="https://www.maplesoft.com/view.aspx?si=3776//applications/images/app_image_blank_lg.jpg" alt="Fitting a circle to data using a linear model" style="maxwidth: 25%;" align="left"/>This worksheet demonstrates how Maple can be used to fit a circle to a set of datapoints. If a set of datapoints are known to lie on a circle, the average quadratic distance of the points from a circle should be minimized. This problem can be written so that it is linear in the parameters to be determined.
https://www.maplesoft.com/applications/view.aspx?SID=3776&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Thomas Schramm
Thomas Schramm

Gear hobbing 1
https://www.maplesoft.com/applications/view.aspx?SID=3779&ref=Feed
Geometric Simulation of Involute Gear Hobbing in Transverse Section
<img src="https://www.maplesoft.com/view.aspx?si=3779/hobbing.gif" alt="Gear hobbing 1" style="maxwidth: 25%;" align="left"/>Geometric Simulation of Involute Gear Hobbing in Transverse Section
https://www.maplesoft.com/applications/view.aspx?SID=3779&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Dr. Laczik Bálint
Dr. Laczik Bálint

Welding 1: intersection of two pipes
https://www.maplesoft.com/applications/view.aspx?SID=3773&ref=Feed
This is a problem that arose from a consulting contract with the welding industry. The question is this: How does one control a robotic welding torch so that the welder follows precisely the joint between two cylindrical pipes? A typical pipe weld is pictured in the photograph in Fig. 1, where the joint between the two pipes is clearly seen to describe a closed curve. In the most general situation, the company must be able to form welds between pipes with differing crosssectional radius and arbitrary joint angle.
<img src="https://www.maplesoft.com/view.aspx?si=3773/welding.gif" alt="Welding 1: intersection of two pipes" style="maxwidth: 25%;" align="left"/>This is a problem that arose from a consulting contract with the welding industry. The question is this: How does one control a robotic welding torch so that the welder follows precisely the joint between two cylindrical pipes? A typical pipe weld is pictured in the photograph in Fig. 1, where the joint between the two pipes is clearly seen to describe a closed curve. In the most general situation, the company must be able to form welds between pipes with differing crosssectional radius and arbitrary joint angle.
https://www.maplesoft.com/applications/view.aspx?SID=3773&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Dr. John Stockie
Dr. John Stockie

Brake design and costing I
https://www.maplesoft.com/applications/view.aspx?SID=3769&ref=Feed
In this worksheet we consider a braking system, first doing a mechanical analysis and then consider the correct bolt crosssection area based upon the design constraints including cost for the completed apparatus. Finally we demonstrate how these analyses can be automated.
<img src="https://www.maplesoft.com/view.aspx?si=3769//applications/images/app_image_blank_lg.jpg" alt="Brake design and costing I" style="maxwidth: 25%;" align="left"/>In this worksheet we consider a braking system, first doing a mechanical analysis and then consider the correct bolt crosssection area based upon the design constraints including cost for the completed apparatus. Finally we demonstrate how these analyses can be automated.
https://www.maplesoft.com/applications/view.aspx?SID=3769&ref=Feed
Tue, 19 Jun 2001 00:00:00 Z
Maplesoft
Maplesoft

Metal forming process and mathematical modeling
https://www.maplesoft.com/applications/view.aspx?SID=3777&ref=Feed
The comparison of predictions from mathematical models and experimental data is one of the most important aspects of engineering analysis. In this worksheet we consider the process of pulling a metal rod through a cone shaped object (the dye). This process, called "drawing", is illustrated below and is one of the main forms of metalforming.
<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Metal forming process and mathematical modeling" style="maxwidth: 25%;" align="left"/>The comparison of predictions from mathematical models and experimental data is one of the most important aspects of engineering analysis. In this worksheet we consider the process of pulling a metal rod through a cone shaped object (the dye). This process, called "drawing", is illustrated below and is one of the main forms of metalforming.
https://www.maplesoft.com/applications/view.aspx?SID=3777&ref=Feed
Mon, 18 Jun 2001 04:00:00 Z
Maplesoft
Maplesoft

Aircraft turbojet
https://www.maplesoft.com/applications/view.aspx?SID=3768&ref=Feed
We consider an idealized turbojet and study the net thrust generated under various conditions.
<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Aircraft turbojet" style="maxwidth: 25%;" align="left"/>We consider an idealized turbojet and study the net thrust generated under various conditions.
https://www.maplesoft.com/applications/view.aspx?SID=3768&ref=Feed
Mon, 18 Jun 2001 04:00:00 Z
Maplesoft
Maplesoft