Harald Kammerer: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=1796
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 16 May 2021 19:09:39 GMTSun, 16 May 2021 19:09:39 GMTNew applications published by Harald Kammererhttps://www.maplesoft.com/images/Application_center_hp.jpgHarald Kammerer: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=1796
Structural Mechanics
https://www.maplesoft.com/applications/view.aspx?SID=96901&ref=Feed
<p>Structural Mechanics™ for Maple™ is a collection of procedures in the Classical Interface which gives engineers and scientists familiar with the theory of Structural Mechanics and the Finite Element Method, a new approach to the calculation of statics and dynamics of spatial beam structures including discrete masses and inertias in points, springs and dampers. This package can be used for solving modern and classical problems and creating graphical representations of their solutions.<br /> <br /> With Structural Mechanics, users can generate graphical representations and animations of structural deformations to visualize the mechanics of individual components and confirm design parameters.</p><img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Structural Mechanics" style="max-width: 25%;" align="left"/><p>Structural Mechanics™ for Maple™ is a collection of procedures in the Classical Interface which gives engineers and scientists familiar with the theory of Structural Mechanics and the Finite Element Method, a new approach to the calculation of statics and dynamics of spatial beam structures including discrete masses and inertias in points, springs and dampers. This package can be used for solving modern and classical problems and creating graphical representations of their solutions.<br /> <br /> With Structural Mechanics, users can generate graphical representations and animations of structural deformations to visualize the mechanics of individual components and confirm design parameters.</p>https://www.maplesoft.com/applications/view.aspx?SID=96901&ref=FeedWed, 15 Sep 2010 04:00:00 ZHarald KammererHarald KammererCalculate time difference
https://www.maplesoft.com/applications/view.aspx?SID=35404&ref=Feed
<p>This small application calculates the difference between two given time points.</p><img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Calculate time difference" style="max-width: 25%;" align="left"/><p>This small application calculates the difference between two given time points.</p>https://www.maplesoft.com/applications/view.aspx?SID=35404&ref=FeedTue, 20 Apr 2010 04:00:00 ZHarald KammererHarald KammererDiscrete Fourier Transfom and Inverse Fourier Transform
https://www.maplesoft.com/applications/view.aspx?SID=6617&ref=Feed
<p>This application reads data from an Excel file, makes a Fourier transformation or inverse Fourier transformations, and writes the spectrum or the filtered time history back to the Excel file.</p><img src="https://www.maplesoft.com/view.aspx?si=6617/maple_icon.jpg" alt="Discrete Fourier Transfom and Inverse Fourier Transform" style="max-width: 25%;" align="left"/><p>This application reads data from an Excel file, makes a Fourier transformation or inverse Fourier transformations, and writes the spectrum or the filtered time history back to the Excel file.</p>https://www.maplesoft.com/applications/view.aspx?SID=6617&ref=FeedThu, 04 Sep 2008 04:00:00 ZHarald KammererHarald KammererStatik auf Deutsch
https://www.maplesoft.com/applications/view.aspx?SID=4682&ref=Feed
Statics is a package of Maple routines for calculations in engineering statics, developed by Dr. Harald Kammerer of GERB in Berlin, Germany. All routines are available through a maplet and top-level commands.
Using the Statics package, a civil engineer can input a basic structure along with its load and material parameters, and instantly derive the essential properties of the loaded system. The package can give results in both symbolic and numeric form. Available calculations include:
* Deformation functions for 14 classes of bars and beams
* Principle stresses, strains and moments of inertia for beam cross-sections
* Bar forces and support reactions within 2-D and 3-D frameworks
* Center of gravity, area and second moments of rectangular, triangular, circular, and I-, L-, U-, and T-profile cross-sections, as well as combinations of them.<img src="https://www.maplesoft.com/view.aspx?si=4682/statics_logo.gif" alt="Statik auf Deutsch" style="max-width: 25%;" align="left"/>Statics is a package of Maple routines for calculations in engineering statics, developed by Dr. Harald Kammerer of GERB in Berlin, Germany. All routines are available through a maplet and top-level commands.
Using the Statics package, a civil engineer can input a basic structure along with its load and material parameters, and instantly derive the essential properties of the loaded system. The package can give results in both symbolic and numeric form. Available calculations include:
* Deformation functions for 14 classes of bars and beams
* Principle stresses, strains and moments of inertia for beam cross-sections
* Bar forces and support reactions within 2-D and 3-D frameworks
* Center of gravity, area and second moments of rectangular, triangular, circular, and I-, L-, U-, and T-profile cross-sections, as well as combinations of them.https://www.maplesoft.com/applications/view.aspx?SID=4682&ref=FeedWed, 27 Aug 2008 00:00:00 ZHarald KammererHarald KammererStatics Package
https://www.maplesoft.com/applications/view.aspx?SID=4681&ref=Feed
Statics is a package of Maple routines for calculations in engineering statics, developed by Dr. Harald Kammerer of GERB in Berlin, Germany. All routines are available through a maplet and top-level commands.
Using the Statics package, a civil engineer can input a basic structure along with its load and material parameters, and instantly derive the essential properties of the loaded system. The package can give results in both symbolic and numeric form. Available calculations include:
* Deformation functions for 14 classes of bars and beams
* Principle stresses, strains and moments of inertia for beam cross-sections
* Bar forces and support reactions within 2-D and 3-D frameworks
* Center of gravity, area and second moments of rectangular, triangular, circular, and I-, L-, U-, and T-profile cross-sections, as well as combinations of them.<img src="https://www.maplesoft.com/view.aspx?si=4681/statics_logo.gif" alt="Statics Package" style="max-width: 25%;" align="left"/>Statics is a package of Maple routines for calculations in engineering statics, developed by Dr. Harald Kammerer of GERB in Berlin, Germany. All routines are available through a maplet and top-level commands.
Using the Statics package, a civil engineer can input a basic structure along with its load and material parameters, and instantly derive the essential properties of the loaded system. The package can give results in both symbolic and numeric form. Available calculations include:
* Deformation functions for 14 classes of bars and beams
* Principle stresses, strains and moments of inertia for beam cross-sections
* Bar forces and support reactions within 2-D and 3-D frameworks
* Center of gravity, area and second moments of rectangular, triangular, circular, and I-, L-, U-, and T-profile cross-sections, as well as combinations of them.https://www.maplesoft.com/applications/view.aspx?SID=4681&ref=FeedWed, 27 Aug 2008 00:00:00 ZHarald KammererHarald KammererDeformation of a Beam
https://www.maplesoft.com/applications/view.aspx?SID=6321&ref=Feed
<p>This worksheet shows the calculation of the deformation of a simply supported beam. The following Maple techniques are highlighted: - Creating the model - Calculating the deformation of the beam - Creating an animation of the deformation.</p><img src="https://www.maplesoft.com/view.aspx?si=6321/thumb.png" alt="Deformation of a Beam" style="max-width: 25%;" align="left"/><p>This worksheet shows the calculation of the deformation of a simply supported beam. The following Maple techniques are highlighted: - Creating the model - Calculating the deformation of the beam - Creating an animation of the deformation.</p>https://www.maplesoft.com/applications/view.aspx?SID=6321&ref=FeedTue, 27 May 2008 04:00:00 ZHarald KammererHarald KammererClassical Mechanics: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=4889&ref=Feed
This is a Maple course developed by Harald Kammerer in intermediate to advanced Newtonian mechanics.
Topics covered include inertial reference frames, kinematics and kinetics of mass particles, Newton's laws, conservation of energy, moments of inertia, rigid bodies, multiparticle systems and the Lagrangian equation. It assumes prior exposure to elementary physics and calculus.
The text provides detailed explanations of the principles and their underlying mathematics and includes many worked examples. All principles and examples are illustrated with Maple diagrams and animations.<img src="https://www.maplesoft.com/view.aspx?si=4889/appviewer.aspx.gif" alt="Classical Mechanics: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a Maple course developed by Harald Kammerer in intermediate to advanced Newtonian mechanics.
Topics covered include inertial reference frames, kinematics and kinetics of mass particles, Newton's laws, conservation of energy, moments of inertia, rigid bodies, multiparticle systems and the Lagrangian equation. It assumes prior exposure to elementary physics and calculus.
The text provides detailed explanations of the principles and their underlying mathematics and includes many worked examples. All principles and examples are illustrated with Maple diagrams and animations.https://www.maplesoft.com/applications/view.aspx?SID=4889&ref=FeedWed, 28 Mar 2007 00:00:00 ZHarald KammererHarald KammererDynamic Equivalent Structures
https://www.maplesoft.com/applications/view.aspx?SID=4826&ref=Feed
This worksheet compares the eigenvalues of a structure with Rayleigh damping with a structure with an arbitrary discrete damper. It also compare mechanic structures with different types of damping and the strategy to calculation of the solution at an example of a structure with two degrees of freedom.<img src="https://www.maplesoft.com/view.aspx?si=4826/Dynamic.jpg" alt="Dynamic Equivalent Structures" style="max-width: 25%;" align="left"/>This worksheet compares the eigenvalues of a structure with Rayleigh damping with a structure with an arbitrary discrete damper. It also compare mechanic structures with different types of damping and the strategy to calculation of the solution at an example of a structure with two degrees of freedom.https://www.maplesoft.com/applications/view.aspx?SID=4826&ref=FeedThu, 12 Oct 2006 00:00:00 ZHarald KammererHarald KammererDynamics and Deformation of a Helical Steel Spring
https://www.maplesoft.com/applications/view.aspx?SID=1717&ref=Feed
<p>A helical steel spring seems to be a very regular structure. But the following calculation shows that this is not valid for all points of view. Here a steel spring with three complete coils is considered. The lower end of the spring is fixed for all translations and the rotations around all three principal spatial axes. The upper end the spring is free in all degrees of freedom. This example is functional, only with the Structural Mechanics product from the MapleConnect series.</p><img src="https://www.maplesoft.com/view.aspx?si=1717/helicalspring.JPG" alt="Dynamics and Deformation of a Helical Steel Spring" style="max-width: 25%;" align="left"/><p>A helical steel spring seems to be a very regular structure. But the following calculation shows that this is not valid for all points of view. Here a steel spring with three complete coils is considered. The lower end of the spring is fixed for all translations and the rotations around all three principal spatial axes. The upper end the spring is free in all degrees of freedom. This example is functional, only with the Structural Mechanics product from the MapleConnect series.</p>https://www.maplesoft.com/applications/view.aspx?SID=1717&ref=FeedWed, 01 Mar 2006 05:00:00 ZHarald KammererHarald KammererSequences of Masses Springs and Dampers
https://www.maplesoft.com/applications/view.aspx?SID=1716&ref=Feed
<p>Considered is a series of one dimensional masses, springs and dampers, fixed at one end and loaded by a force impact at the other end. The file requires the MapleConnect Product - Structural Mechanics in order to operate</p><img src="https://www.maplesoft.com/view.aspx?si=1716/massspringdamper_40.JPG" alt="Sequences of Masses Springs and Dampers" style="max-width: 25%;" align="left"/><p>Considered is a series of one dimensional masses, springs and dampers, fixed at one end and loaded by a force impact at the other end. The file requires the MapleConnect Product - Structural Mechanics in order to operate</p>https://www.maplesoft.com/applications/view.aspx?SID=1716&ref=FeedWed, 01 Mar 2006 05:00:00 ZHarald KammererHarald KammererDescription of Mechanical Systems by the Use of Quadripole Parameters
https://www.maplesoft.com/applications/view.aspx?SID=4512&ref=Feed
Considers a mechanical device defined with an input gate and an output gate. At the input gate there are two values of the force and the velocity . At the output gate there are the two values of the force and the velocity . So we have all in all two gates and four items. This system can be described in the equivalent manner as an electrical quadripole. So we call this system a mechanical quadripole.
We can consider it as a black box. It is not important of what the device consists. It is only important how it works. In this worksheet we will see how we can use this method to work with some special dynamical systems. But first we have to give some conditions for the mechanical systems. Perhaps not all of the following conditions are necessary, but they will help to understand this idea.<img src="https://www.maplesoft.com/view.aspx?si=4512//applications/images/app_image_blank_lg.jpg" alt="Description of Mechanical Systems by the Use of Quadripole Parameters" style="max-width: 25%;" align="left"/>Considers a mechanical device defined with an input gate and an output gate. At the input gate there are two values of the force and the velocity . At the output gate there are the two values of the force and the velocity . So we have all in all two gates and four items. This system can be described in the equivalent manner as an electrical quadripole. So we call this system a mechanical quadripole.
We can consider it as a black box. It is not important of what the device consists. It is only important how it works. In this worksheet we will see how we can use this method to work with some special dynamical systems. But first we have to give some conditions for the mechanical systems. Perhaps not all of the following conditions are necessary, but they will help to understand this idea.https://www.maplesoft.com/applications/view.aspx?SID=4512&ref=FeedFri, 18 Jun 2004 10:29:14 ZHarald KammererHarald KammererStatics Example : Framework Calculations
https://www.maplesoft.com/applications/view.aspx?SID=4688&ref=Feed
Here are some examples on calculations on frameworks. Only statically determined frameworks are taken into account by the functions framework and framework3d .<img src="https://www.maplesoft.com/view.aspx?si=4688/framework30.gif" alt="Statics Example : Framework Calculations" style="max-width: 25%;" align="left"/>Here are some examples on calculations on frameworks. Only statically determined frameworks are taken into account by the functions framework and framework3d .https://www.maplesoft.com/applications/view.aspx?SID=4688&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererStatics Example: Bending in the Plane, Deformation of Bars
https://www.maplesoft.com/applications/view.aspx?SID=4687&ref=Feed
First we give an example of bending in the plane. Then we see examples of deformation of bars.<img src="https://www.maplesoft.com/view.aspx?si=4687/bars15.gif" alt="Statics Example: Bending in the Plane, Deformation of Bars" style="max-width: 25%;" align="left"/>First we give an example of bending in the plane. Then we see examples of deformation of bars.https://www.maplesoft.com/applications/view.aspx?SID=4687&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererStatics Example: Calculations on Beams
https://www.maplesoft.com/applications/view.aspx?SID=4686&ref=Feed
Here are some examples of calculations on beams.
We consider individual beams with different boundary conditions, continuous beams with rigid and with elastic supports and articulated girder s. In the examples of individual beams, influence lines are also considered. In the example of continuous beams, the influence of shear deformation is accounted for.
Before each example, we make some considerations about the cross section.<img src="https://www.maplesoft.com/view.aspx?si=4686/beams4.gif" alt="Statics Example: Calculations on Beams" style="max-width: 25%;" align="left"/>Here are some examples of calculations on beams.
We consider individual beams with different boundary conditions, continuous beams with rigid and with elastic supports and articulated girder s. In the examples of individual beams, influence lines are also considered. In the example of continuous beams, the influence of shear deformation is accounted for.
Before each example, we make some considerations about the cross section.https://www.maplesoft.com/applications/view.aspx?SID=4686&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererStatik Beispiel: Fachwerkberechnung
https://www.maplesoft.com/applications/view.aspx?SID=4685&ref=Feed
Hier sind einige Beispiele zum Thema: "Fachwerk" zusammengestellt. Es werden in den Funktionen fachwerk und fachwerk3d nur statisch bestimmte Systeme berücksichtigt. Um die Beispiele ausführen zu können, muß der Pfad für die Library angepaßt werden.<img src="https://www.maplesoft.com/view.aspx?si=4685/framework15.gif" alt="Statik Beispiel: Fachwerkberechnung" style="max-width: 25%;" align="left"/>Hier sind einige Beispiele zum Thema: "Fachwerk" zusammengestellt. Es werden in den Funktionen fachwerk und fachwerk3d nur statisch bestimmte Systeme berücksichtigt. Um die Beispiele ausführen zu können, muß der Pfad für die Library angepaßt werden.https://www.maplesoft.com/applications/view.aspx?SID=4685&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererStatik Beispiel: Schiefe Biegung, Zug-/Druckstab, Torsion
https://www.maplesoft.com/applications/view.aspx?SID=4684&ref=Feed
Hier wird ein Beispiel betrachtet, bei dem ein Balken nicht nur in der Ebene, sondern räumlich belastet wird. Weiter wird auch Normalkraftbelastung betrachtet und Torsion angesprochen.<img src="https://www.maplesoft.com/view.aspx?si=4684/bl3d_bsp13.gif" alt="Statik Beispiel: Schiefe Biegung, Zug-/Druckstab, Torsion" style="max-width: 25%;" align="left"/>Hier wird ein Beispiel betrachtet, bei dem ein Balken nicht nur in der Ebene, sondern räumlich belastet wird. Weiter wird auch Normalkraftbelastung betrachtet und Torsion angesprochen.https://www.maplesoft.com/applications/view.aspx?SID=4684&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererStatik Beispiel: Balkenberechnung
https://www.maplesoft.com/applications/view.aspx?SID=4683&ref=Feed
Hier sind einige Beispiele zum Thema: "Balkenberechnung" zusammengestellt. Um die Beispiele ausführen zu können, muß der Pfad für die Library angepaßt werden.
Es werden Einfeldträger mit unterschiedlichen Randbedingungen, Durchlaufträger mit starrer und mit elastischer Lagerung und Gerberträger betrachtet. Bei den Beispielen zu den Einfeldträgern werden auch Einflußlinien berechnet. Im Beispiel der Durchlaufträger wird der Einfluß der Schubdeformation auf die Durchbiegung betrachtet.
Vor jedem Beispiel werden einige Betrachtungen zu den Querschnittswerten angestellt.<img src="https://www.maplesoft.com/view.aspx?si=4683/bars45.gif" alt="Statik Beispiel: Balkenberechnung" style="max-width: 25%;" align="left"/>Hier sind einige Beispiele zum Thema: "Balkenberechnung" zusammengestellt. Um die Beispiele ausführen zu können, muß der Pfad für die Library angepaßt werden.
Es werden Einfeldträger mit unterschiedlichen Randbedingungen, Durchlaufträger mit starrer und mit elastischer Lagerung und Gerberträger betrachtet. Bei den Beispielen zu den Einfeldträgern werden auch Einflußlinien berechnet. Im Beispiel der Durchlaufträger wird der Einfluß der Schubdeformation auf die Durchbiegung betrachtet.
Vor jedem Beispiel werden einige Betrachtungen zu den Querschnittswerten angestellt.https://www.maplesoft.com/applications/view.aspx?SID=4683&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererClassical Mechanics: Complete Set of Lessons
https://www.maplesoft.com/applications/view.aspx?SID=1412&ref=Feed
This is a Maple course developed by Harald Kammerer in intermediate to advanced Newtonian mechanics.
Topics covered include inertial reference frames, kinematics and kinetics of mass particles, Newton's laws, conservation of energy, moments of inertia, rigid bodies, multiparticle systems and the Lagrangian equation. It assumes prior exposure to elementary physics and calculus.
The text provides detailed explanations of the principles and their underlying mathematics and includes many worked examples. All principles and examples are illustrated with Maple diagrams and animations.<img src="https://www.maplesoft.com/view.aspx?si=1412/class_mech.gif" alt="Classical Mechanics: Complete Set of Lessons" style="max-width: 25%;" align="left"/>This is a Maple course developed by Harald Kammerer in intermediate to advanced Newtonian mechanics.
Topics covered include inertial reference frames, kinematics and kinetics of mass particles, Newton's laws, conservation of energy, moments of inertia, rigid bodies, multiparticle systems and the Lagrangian equation. It assumes prior exposure to elementary physics and calculus.
The text provides detailed explanations of the principles and their underlying mathematics and includes many worked examples. All principles and examples are illustrated with Maple diagrams and animations.https://www.maplesoft.com/applications/view.aspx?SID=1412&ref=FeedWed, 01 Oct 2003 00:00:00 ZHarald KammererHarald KammererSolving a 1-DOF System Driven by Transient and Non-Periodic Forces
https://www.maplesoft.com/applications/view.aspx?SID=4316&ref=Feed
This worksheet compares the solutions of a single-degree-of-freedom-system derived by two different techniques:<br><br>
1. Solve the system in the time domain <br>
2. Convert the ground acceleration into the frequency domain, multiply the result with the transfer function of the system and convert the solution back to the time domain. <br><br>
The goal is to explain the difference between the resulting solutions. In many cases people mistakenly use the solution in the frequency domain to solve problems with transient excitation with non-periodic excitations.
<img src="https://www.maplesoft.com/view.aspx?si=4316//applications/images/app_image_blank_lg.jpg" alt="Solving a 1-DOF System Driven by Transient and Non-Periodic Forces" style="max-width: 25%;" align="left"/>This worksheet compares the solutions of a single-degree-of-freedom-system derived by two different techniques:<br><br>
1. Solve the system in the time domain <br>
2. Convert the ground acceleration into the frequency domain, multiply the result with the transfer function of the system and convert the solution back to the time domain. <br><br>
The goal is to explain the difference between the resulting solutions. In many cases people mistakenly use the solution in the frequency domain to solve problems with transient excitation with non-periodic excitations.
https://www.maplesoft.com/applications/view.aspx?SID=4316&ref=FeedFri, 04 Oct 2002 13:47:29 ZHarald KammererHarald KammererTerzpegelspektrum
https://www.maplesoft.com/applications/view.aspx?SID=4157&ref=Feed
Wir analysieren mit FFT die Überfahrt einer Straßenbahn über eine mit Stahlfederelementen schwingungsisolierte Weiche.<img src="https://www.maplesoft.com/view.aspx?si=4157//applications/images/app_image_blank_lg.jpg" alt="Terzpegelspektrum" style="max-width: 25%;" align="left"/>Wir analysieren mit FFT die Überfahrt einer Straßenbahn über eine mit Stahlfederelementen schwingungsisolierte Weiche.https://www.maplesoft.com/applications/view.aspx?SID=4157&ref=FeedMon, 29 Oct 2001 10:30:11 ZHarald KammererHarald Kammerer