Text Search:
Applied Filters
    4-050-ResonanceBeats-ModelingScenario
    We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
    223

    views

    209

    downloads

    0

    comments

    0

    adaptations

    2009-James_May-Nonlinear vibration control of long flexible structures
    An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order...
    148

    views

    54

    downloads

    0

    comments

    0

    adaptations

    5-036-HalfCarVibration-ModelingScenario
    Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF)...
    308

    views

    125

    downloads

    0

    comments

    0

    adaptations

    2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
    The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were...
    135

    views

    34

    downloads

    0

    comments

    0

    adaptations

    1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
    The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.
    171

    views

    45

    downloads

    0

    comments

    0

    adaptations

    Cross-Cultural Virtual Classroom for High School Calculus
    The Covid-19 pandemic has forced institutions to conduct distance learning. Though challenging, this has also created pedagogical possibilities. Students can now experience cultural exchange though...
    768

    views

    62

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDampers-PartII-ModelingScenario
    Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a...
    332

    views

    393

    downloads

    0

    comments

    0

    adaptations

    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...
    172

    views

    40

    downloads

    0

    comments

    0

    adaptations

    2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations
    In this paper, simple ordinary differential equations are discussed against the background of William Shakespeare’s Romeo and Juliet.
    133

    views

    61

    downloads

    0

    comments

    0

    adaptations

    3-072-EarthQuakePartI-ModelingScenario
    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.
    255

    views

    325

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...
    535

    views

    1362

    downloads

    0

    comments

    0

    adaptations

    3-073-EarthQuakePartII-ModelingScenario
    Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it...
    243

    views

    366

    downloads

    0

    comments

    0

    adaptations

    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
    815

    views

    54

    downloads

    0

    comments

    0

    adaptations

    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
    171

    views

    80

    downloads

    0

    comments

    0

    adaptations

    2014-Robert_Terrell-Notes_on_Differential_Equations
    We point out that the title is not Solving Differential Equations; we derive them, discuss them, review calculus background for them, apply them, sketch and compute them, and also solve them and...
    202

    views

    126

    downloads

    0

    comments

    0

    adaptations

    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...
    140

    views

    55

    downloads

    0

    comments

    0

    adaptations

    Causes and consequences of resisting herbivory: How long-lived plants avoid damage from diverse short-lived insect herbivores
    This module guides students through decades-long studies of tropical plant-insect interactions to elucidate the ecology and evolution of plant defenses while encouraging students to consider the...
    1327

    views

    90

    downloads

    0

    comments

    0

    adaptations

    A Remote Introductory Biology Lab Using Backyard Birdwatching to Teach Data Analysis and Communication
    Asking questions, designing experiments, collecting data and interpreting those data, and communicating the results are some of the most important concepts an undergraduate biology lab can teach...
    1689

    views

    518

    downloads

    0

    comments

    0

    adaptations

    Preparing Student Study Guides through Peer Collaboration in the Technological Era
    Incorporating active learning exercises into large lecture courses is particularly challenging, especially when it comes to examination preparation materials. Traditionally, study guides are used...
    1480

    views

    234

    downloads

    0

    comments

    0

    adaptations

    Transitioning Two-Stage Exams to an Online Class
    Students often find biology courses to be very difficult and isolating, particularly if they identify as part of a group that has been historically excluded from STEM. Some of this anxiety and...
    1163

    views

    128

    downloads

    0

    comments

    0

    adaptations