Copyright 2001, American Society for Engineering EducationThe matrix-vector formulation of the closed-form dynamic model for a robot with N joint axes1is: D(q, ϕ) q&& + h( q, q&, ϕ) = F(t) (1)In (1), q(t), q& (t), and q&& (t) are the joint position, velocity and acceleration vectors; ϕ is thevector of dynamics parameters; D(q, ϕ) is the inertial matrix; h( q, q&, ϕ) is the coupling vectorthat incorporates the centrifugal, Coriolis, gravitational, and frictional force/torque vectors; andF(t) is the vector of actuating (motor) joint forces/torques.The structured closed-form dynamic robot model in (1) provides physical insight into thenonlinear system and is thus very
experiments and support courseware may be seen and down loadedat www.mission-technology.com.The essential components of this version of the IIL system are: q Computer controlled bench-top instruments (Hewlett Packard) consisting of a digital multimeter, oscilloscope, signal generator and power supply; q Interactive Web-based lab experiments; q Web-based instrument controls; q Subject tutorials; q A custom Web browser (WebLAB) that tightly integrates all of the above hardware and software.With NSF support, 6 sets of computer-controlled bench-top instruments at $6,500 per setup wereinstalled as shown below
tube. The solution subroutine was modified and used to explore what value ofrelaxation worked best for the solution scheme. Figure A-1 shows the new pressure gradientafter each iteration for relaxation values of 1 and 0.5. The process converges very slowly with arelaxation of 1, while it converges rapidly with a relaxation of 0.5.The solution also demonstratesthe abilities of MathCad to handle units. The result is presented in correct units even afterpassing through the iteration program.VI. Subcooled Boiling Heat Transfer ProblemA double-pipe counterflow heat exchanger is constructed with water flow in the tube side and oilflow in the annulus side. q oil
analysisprocedure. A subsection will be devoted to each step.Step 1:An overall mass balance for a differential length of the packed bed of adsorbent particles shownin Figure 1 yields the following equation: ε ∂P = − ε ∂ ( PU ) − 1− ε q RT ∂t RT ∂x ( ) (1)where P is the pressure, U is the gas velocity, q is the rate of nitrogen adsorption per unitvolume of adsorbent particles, x is the axial distance, t is time, R is the gas constant, T is theabsolute temperature, and ε is the porosity of the packed bed. The first term in the aboveequation is the accumulation of total mass in the differential volume element; the second term isthe advection of
weirs have the advantage that they can measure a very small flow as well as measurereasonably large flows. The students are required to calibrate a triangular weir in the laboratory.The actual relation between flow and head for the triangular weir can be expressed as:Q = K Hn …………….(3)where, Q = flow in cm3/s; H = head in cm above the weir crest; n= 2.5 ; K= ConstantIn a triangular weir K= 8/15 CD tan(θ/2)(2g)0.5; CD= Coefficient of discharge. Using θ = 900 andg = 981 cm/s2, K = 23.62 CD . Page 6.319.3The flow Q is measured from the calibration curve of the open channel and the head is measuredwith a hook gage. Students are required to
(amperes) i(t) Mechanical Velocity v(t) Force f(t) (Translational) (meters/second) (Newtons) Mechanical Angular Velocity ω(t) Torque T(t) (Rotational) (radians/second) (Newtons)(meters) Fluid Pressure difference p(t) Flow rate q(t) 3 (Pascals or (meter) /second Newtons/meter2) Thermal Degree Difference θ oC
Society for Engineering Education Annual Conference & Exposition Copyright © 2001, American Society for Engineering Education”At this point the students can guess that the some change to the uncertainty equation is neededto prevent the filter from “locking in” on a single answer that is really continuously changing, sothey are ready to be introduced to these discrete equations: σ x+ = φσ x− φ + q i i ∆t q = ∫e ne fτ fτ
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) A( w ) 20. log( T( ω ) ) 2 2 a b( a ) Q 2. a Figure 1. Mathcad script for moving pole exampleAs a second example consider the script shown in Figure 2. Here the quantity tau represents avariable that depends on FRAME and which represents the half-width of a pulse in time f(t)which is centered at t=0. As tau increases the pulse widens. F(ω) represents the Fouriertransform of the pulse. In the animation, both f(t) and F(ω) are plotted for each value of tau. FRAME
of the abovemethod, we can say that it did appear to pass this test as few students complained that theevaluations were unfair.IV. An Inventory Policy ProblemThe second problem was an inventory policy problem where the students first saw the problemstory and action form shown in Figure 2. The story described a continuous review inventorysituation that included ordering costs, holding costs and shortage costs with stochastic demand Page 6.1120.3and lead times. The problem required students to determine a reorder quantity and reorder point(Q, R) policy. Demand was required to be estimated from samples acquired at a cost. Proceedings of the
the following is a statement of the first law of thermodynamics? Q = mc(∆T) W = ∫ p dV Q - W = ∆U all of these 8. Which of the following is a definition of enthalpy? Q/T Q–W mcp 7 U + pV 9. The typical electric power plant relies on which energy conversion cycle? Brayton Otto Rankine Diesel 10. Which of the following expresses the second law of thermodynamics?: (a) Work cannot be completely converted into heat. (b) Heat cannot be completely converted into work. (c) Energy can be neither created nor destroyed in a system. (d) The rate of mass flowing into a system equals the mass flow rate
. Topics emphasized in this chapter See example in Sections 2.2 − 2.6. Input valve A1 Q 1 + ∆Q 1 Establish the control goals
Butterworth Second Order Active High Pass/Low Pass FiltersTo further prevent interference from other light sources and re-condition the signals, we use twoSecond Order Active filters with a Q value of 6. Since these filters have a high Q, around thecenter frequency they behave very similarly to band pass filters. Figures 7 shows the normalizedfrequency responses of these filters. Magnitude Magnitude 6.0 6.0 5.0 5.0 4.0
magnitude of the voltage or electrical “pressure” supplied to the circuit is analogous to thewater level in TANK A. The adjustable gate valve that meters the flow of water and reduces thepressure on the downstream side represents the resistor in the circuit, R. The on/off switch is thesolenoid valve, and the empty tank, TANK B, is the capacitor (uncharged or empty) prior tofilling. The electrical current flowing through the circuit, i, is simply the water flowing throughthe pipe.So the valve setting (or magnitude of resistance R and the tank diameter or capacitance, C bothinfluence the charging (or filling) rate of the capacitor. Recall that a capacitor stores andelectrical charge, q given by the equation, Q = CV where Q is the total charge across
) to the pressure gradient. K A∆p Q=− (1) µLwhere, Page 6.488.3 Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition Copyright 2001, American Society for Engineering Education Q = volumetric flow rate of the fluid K = permeability coefficient A = cross-sectional area permeated ∆p = pressure difference across the porous
installed in differentports of this PXI system. The Gateway computers are equipped with LabVIEW, HI-Q, and othersoftware. The Hi-Q software can be used to perform advanced mathematical analysis. The student andfaculty use these computers for simulation purposes. b. Application Areas of LabVIEW SoftwareThe following are some of the application areas of LabVIEW8, 9:Simulation; Data Acquisition; Data Processing - built in analysis library that includes signal generation,measurement, filters, windows, curve fitting, probability and statistics, linear algebra, numericalmethods; Instrument and Control; Object oriented/graphical programming; Fuzzy Logic; GeneticAlgorithm; and Joint Time and Frequency Analysis. Fuzzy Logic, Genetic Algorithm
. . Linear interpolation is used to provide intermediate valuesto minimize calculation time. Additional thermodynamic properties (molar heat capacity,density, etc.) are estimated by linear interpolation of pure component values.ReboilerWhen the reboiler is below the boiling point, the reboiler heat balance is described by: dT n rCp r = Q (1) dt where Cp = the molar heat of the material in the reboiler (joule/gmoleK) nr = the moles in the reboiler (gmole) Q = heat input, taken to be the power input to reboiler (W) Tr = reboiler temperature (K) t = time (sec)Proceedings of the 2001 American
e d Net Charge dt qsys = ∑ q& − ∑ q& in i out e d Linear Momentum dt Psys = ∑ external Fj + ∑ m& V − ∑ m& V in i i
Copyright ! 2001, American Society for Engineering Educationintersecting families of surfaces: F(x, y, z, p) = 0 , G(x, y, z, q) = 0 , H(x, y, z, r) = 0 .Then to each choice of p, q, and r we can assign a point P(x, y, z)which is the intersection of thethree surfaces corresponding to constant p, q and r. The parameters, p, q, and r can serve as co-ordinates for the points of our three-dimensional space. As an example with cylindrical spatialco-ordinates the families of surfaces with co-ordinates r, θ , z are: √(x2 + y2) = r circular cylinders concentric with the z-axis, expanding as r
which raters influence one anotherThe variables that determine the level of consensus are defined as follows: 1. Acquaintance (n). Acquaintance is the amount of information to which the rater is exposed. 2. Overlap (q). Overlap is the extent that two raters observe the ratee at the same time. 3. Consistency within a rater across acts (r1). Within rater consistency, correlation between S11 and S12, as shown in Figure 3. This can also reflect the consistency of the ratee’s acts. 4. Shared meaning systems (r2). The extent to which an act is given the same meaning by two raters, correlation between S12 and S22, as shown in Figure 3. 5. Consistency between-raters across acts (r3). The model assumes the between-rater
Session 1554 Discover Engineering Day: Collaborations in Pre-College Recruitment William C. Davis, Elsa Q. Villa, S. W. Stafford The University of Texas at El PasoAbstractAs engineering enrollments across the United States are on the decline, the College ofEngineering at the University of Texas at El Paso (UTEP) has shown a 7% increase each year forthe past four years. To address this enrollment gap, retention and recruitment programs mustexist symbiotically at an institution to attract students and retain them through graduation. TheDiscover
conditions thefollowing data was measured and recorded: hot water flow rate, cooling water flow rate, inlet andexit hot water temperatures T1 and T2, respectively, the inside metal wall temperatures at the inletand the exit, T3 and T4, respectively, and inlet and exit cooling water temperatures T5 and T6,respectively. This was carried out for several flow rates. In order to evaluate the enhancementtechniques, the same experimental procedure was repeated for the modified heat exchangers anddata was recorded for the same experimental conditions.There are several parameters that can be determined from these measurements, such as the heatduty Q, the overall heat transfer coefficient U, and the logarithmic mean temperature differenceLMTD, that can be
." "TheInternet web site is very helpful and the use of e-mail for Q and A is quick and efficient."The students also had suggestions for additional web use, such as: "Have online quizzes ormultiple choice questions online, for terminology." Students report that they check the web siteoutside of class on a regular basis. They like to look at new note pages prior to class and again Page 6.651.3 Proceedings of the 2001 American Society for Engineering Annual Conference & Exposition Copyright 2001, American Society for Engineering Educationafter class. Some students print out new notes before class and use them for taking
with in-phase and quadrature phase data for eachinputted symbol or, for FSK schemes, the output is the frequency, phase, and amplitude data for eachinputted symbol. The number of data points output by this VI corresponds directly to the number ofpoints used in the RF waveform generated by the next VI. The baseband modulation can be thought ofas the digital modulation phase of a modern communication system.The inputs to the RF Up-converter VI are the data created by the baseband modulator and the userdefined modulation technique. For PSK, QAM, and Generic I & Q techniques the data has in-phaseand quadrature phase information that relates to all of the symbols included in the input bit array. Theup-converter takes these data points and
example of each. A. Basic This level is the simplest of all word problems in the sense that you perform themechanical manipulations necessary to solve the equation, for example: Solve for x in 3x + 2 = 8 B. Descriptive These second-level problems present the equations and data explicitly with a description of the parameters. For example: The heat, Q, required to change the temperature of a mass, m, of a substance by an amount, ¨UÃvÃtvrÃiÃurÃsyyvtÃsyh) Q = mc¨U where c is the specific heat of the substance. Determine the amount of heat required to raise the temperature of 10 g of water whose specific heat is
regression model with a literature model. In the forced convection experiment the convection coefficient for a cylinder in cross Page 6.959.4flow is determined from direct measurements as follows,Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition Copyright 2001, American Society for Engineering Education W& E − Q& L h= (11) A (Ts −T∞ )Where the
well as extremely fine-grained data.II. Academic Data Warehouse AnalysisUF Data Warehouse RequirementsAfter the concept and the budget for the data warehouse was approved, manyadministrative units volunteered to become campus test sites and were involved in thedata warehouse project from the beginning of the design phase. Our customers helped usto ensure that the data modeling and system design precisely fit their businessrequirements, which included protection of the source data from legacy systems,consistency of transaction and warehouse data, intense security, naming standards, and avariety of reports needs.Frequently asked questions during our requirement analysis: Q: What level of security will the data warehouse provide to
Page 6.47.7Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition Copyright 2001, American Society for Engineering Education Figure 3 Demonstration Problem Statement Page 6.47.8Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition Copyright 2001, American Society for Engineering EducationStep 1We sketch our physical situation. q Ts u∞, T∞ DD = 0.47 m
categories.Currently, these teams are implementing the Baldrige criteria into daily operations. The METSDepartment faculty receive periodic newsletters on the program and are continually exposed tothe E2=Q logo (Exceeding Expectations equals Quality) on posters and banners around theuniversity. Faculty members benefit from these efforts because the level of support for facultyhas increased. Students and faculty alike are less frustrated by red tape.6. Purdue University Excellence 21 Program Excellence 21 is a system-wide effort started in1995 by Purdue to explore the principles of continuous improvement and total-qualitymanagement9. Developed with assistance from Motorola, Inc., Excellence 21 is designed toallow Purdue to use some of the tools of the business