This course deals with the design of drinking water treatment plants. We discuss theory and design exercises.
Students use a sponge and water model to explore the concept of relative humidity and create a percent scale.
Student teams commit to a final decision on the location they recommend for safe underground cavern shelter for the citizens of Alabraska. They prepare and deliver final presentations to defend their final decisions to the class.
Momentum principles and energy principles. Lagrange's equations, Hamilton's principle. Applications to mechanical systems including gyroscopic effects. Study of steady motions and nature of small deviations therefrom. Natural modes and natural frequencies for continuous and lumped parameter systems. Forced vibrations. Dynamic stability theory. Causes of instability. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas.
Upon successful completion of this course, students will be able to: * Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains * Make quantitative estimates of model parameters from experimental measurements * Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods * Obtain the frequency-domain response of linear systems to sinusoidal inputs * Compensate the transient response of dynamic systems using feedback techniques * Design, implement and test an active control system to achieve a desired performance measureMastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.
Introduction to nonlinear deterministic dynamical systems. Nonlinear ordinary differential equations. Planar autonomous systems. Fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma. Stability of equilibria by Lyapunov's first and second methods. Feedback linearization. Application to nonlinear circuits and control systems. Alternate years. Description from course website: This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.
Students further their understanding of the engineering design process (EDP) while applying researched information on transportation technology, materials science and bioengineering. Students are given a fictional client statement (engineering challenge) and directed to follow the steps of the EDP to design prototype patient safety systems for small-size model ambulances. While following the steps of the EDP, students identify suitable materials and demonstrate two methods of representing solutions to the design challenge (scale drawings and small-scale prototypes). A successful patient safety system meets all of the project's functions and constraints, including the model patient (a raw egg) "surviving" a front-end collision test with a 1:8 ramp pitch.
The purpose of this lesson is to introduce students to the basic elements of our Earth's crust: rocks, soils and minerals. They learn how we categorize rocks, soils and minerals and how they are literally the foundation for our civilization. Students also explore how engineers use rocks, soils and minerals to create the buildings, roads, vehicles, electronics, chemicals, and other objects we use to enhance our lives.
This lesson introduces and describes the main types of erosion (i.e., chemical, water, wind, glacier and temperature). Students learn examples of each type of erosion and discuss how erosion changes the surface of the Earth. Students also learn why engineers need to be aware of the different types of erosion in order to protect structures and landmarks from the damaging effects erosion can cause. Figure 1 is an excellent illustration of water erosion.
An engineering and design lesson for middle school (our 7th grade standards).
In the aftermath of a natural disaster, can you engineer a device that will keep medicine within a 40-60°F range using natural resources from the biome you live in, and/or debris created by the disaster for three days, until the Red Cross can arrive?
You are a team of relief workers in __________________after a major earthquake/tsunami has occurred. Your team lead as just told you about a young women with diabetes has been injured and needs insulin to be delivered __________ miles away (no open roads). Your team will need to research, design, and build a portable device to keep the insulin between _____ and ______ °(F/C) for _____ days. Once you return you will present the effectiveness of your device to your lead and a team other relief workers showing your both your design/device and explaining the process.
Students learn about the structure of the earth and how an earthquake happens. In one activity, students make a model of the earth including all of its layers. In a teacher-led demonstration, students learn about continental drift. In another activity, students create models demonstrating the different types of faults.
Students learn how engineers construct buildings to withstand damage from earthquakes by building their own structures with toothpicks and marshmallows. Students test how earthquake-proof their buildings are by testing them on an earthquake simulated in a pan of Jell-O(TM).
Students learn about factors that engineers take into consideration when designing buildings for earthquake-prone regions. Using online resources and simulations available through the Earthquakes Living Lab, students explore the consequences of subsurface ground type and building height on seismic destruction. Working in pairs, students think like engineers to apply what they have learned to sketches of their own building designs intended to withstand strong-magnitude earthquakes. A worksheet serves as a student guide for the activity.
Students learn what causes earthquakes, how we measure and locate them, and their effects and consequences. Through the online Earthquakes Living Lab, student pairs explore various types of seismic waves and the differences between shear waves and compressional waves. They conduct research using the portion of the living lab that focuses primarily on the instruments, methods and data used to measure and locate earthquakes. Using real-time U.S. Geological Survey (USGS) data accessed through the living lab interface, students locate where earthquakes are occurring and how frequently. Students propose questions and analyze the real-world seismic data to find answers and form conclusions. They are asked to think critically about why earthquakes occur and how knowledge about earthquakes can be helpful to engineers. A worksheet serves as a student guide for the activity.
Students learn how engineers characterize earthquakes through seismic data. Then, acting as engineers, they use real-world seismograph data and a tutorial/simulation accessed through the Earthquakes Living Lab to locate earthquake epicenters via triangulation and determine earthquake magnitudes. Student pairs examine seismic waves, S waves and P waves recorded on seismograms, measuring the key S-P interval. Students then determine the maximum S wave amplitudes in order to determine earthquake magnitude, a measure of the amount of energy released. Students consider how engineers might use and implement seismic data in their design work. A worksheet serves as a student guide for the activity.
Students study how geology relates to the frequency of large-magnitude earthquakes in Japan. Using the online resources provided through the Earthquakes Living Lab, students investigate reasons why large earthquakes occur in this region, drawing conclusions from tectonic plate structures and the locations of fault lines. Working in pairs, students explore the 1995 Kobe earthquake, why it happened and the destruction it caused. Students also think like engineers to predict where other earthquakes are likely to occur and what precautions might be taken. A worksheet serves as a student guide for the activity.
Students examine the effects of geology on earthquake magnitudes and how engineers anticipate and prepare for these effects. Using information provided through the Earthquakes Living Lab interface, students investigate how geology, specifically soil type, can amplify the magnitude of earthquakes and their consequences. Students look in-depth at the historical 1906 San Francisco earthquake and its destruction thorough photographs and data. They compare the 1906 California earthquake to another historical earthquake in Kobe, Japan, looking at the geological differences and impacts in the two regions, and learning how engineers, geologists and seismologists work to predict earthquakes and minimize calamity. A worksheet serves as a student guide for the activity.
Students gather evidence to explain the theory of plate tectonics. Using the online resources at the Earthquakes Living Lab, students examine information and gather evidence supporting the theory. They also look at how volcanoes and earthquakes are explained by tectonic plate movement, and how engineers use this information. Working in pairs, students think like engineers and connect what they understand about the theory of plate tectonics to the design of structures for earthquake-resistance. A worksheet serves as a student guide for the activity.
Students learn the two main methods to measure earthquakes, the Richter Scale and the Mercalli Scale. They make a model of a seismograph a measuring device that records an earthquake on a seismogram. Students also investigate which structural designs are most likely to survive an earthquake. And, they illustrate an informational guide to the Mercalli Scale.
To gain an understanding of mixtures and the concept of separation of mixtures, students use strong magnets to find the element of iron in iron-fortified breakfast cereal flakes. Through this activity, they see how the iron component of this heterogeneous mixture (cereal) retains its properties and can thus be separated by physical means.