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**Date:** 2014/01/01
**Subject:**
Eigenvalue problem.
| Bryan’s effect.
| Resonator gyroscope.
| Thin shell theory.
| Shooting method.
| Rayleigh–Ritz method.
**Language:** en
**Type:** Text
**Identifier:** tut:4518
**Description:**
In 1890 G.H. Bryan observed that when a vibrating structure is rotated with respect to inertial space, the vibrating pattern rotates at a rate proportional to the inertial rate of rotation. This effec
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**Date:** 2010/08/02
**Subject:**
Qualitative and quantitative analysis.
| Stable vibrating patterns.
| Quadrature vibrations.
| Inertial rotation.
| Precession angle.
**Language:** en
**Type:** Text
**Identifier:** tut:5427
**Description:**
Standing waves can exist as stable vibrating patterns in perfect structures such as spherical bodies, and inertial rotation of the body causes precession (Bryan’s effect). However, an imperfection suc
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**Date:** 2010-03-15
**Type:** Text
**Identifier:** tut:2135
**Description:**
Coupled equations of thermoelasticity take into account the effect of nonuniform heating on the medium deformation and that of the dilatation rate on the temperature distribution. As a rule, the coupl
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**Date:** 2009-05-01
**Type:** Text
**Identifier:** tut:1625
**Description:**
Introduction When a vibrating structure is subjected to a rotation at an angular rate , the vibrating pattern rotates with respect to the structure at a rate proportional to . This effect, known as “B
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**Date:** 2008-04-16
**Type:** Text
**Identifier:** tut:1628
**Description:**
When a vibrating structure is rotated with respect to inertial space, the vibrating pattern rotates at a rate proportional to the inertial rate of rotation. Bryan first observed this effect in 1890. T
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**Date:** 2007/07/01
**Language:** en
**Type:** Text
**Identifier:** tut:2491
**Description:**
Lecturers in mathematical modelling courses are always on the lookout for new examples to illustrate the modelling process. A physical phenomenon, documented as early as the nineteenth century, was re
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**Date:** 2007-07-01
**Type:** Text
**Identifier:** tut:1624
**Description:**
Resonant waves can be generated when a disturbance such as an earthquake or tornado moves down the edge of a bay or harbour. The qualitative e¤ect of such a disturbance can be observed in a classroom,
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**Date:** 2004/05/01
**Language:** en
**Type:** Text
**Identifier:** tut:3400
**Description:**
In a recent article, we considered factors influencing the build-up of corruga-tions on dirt roads and the reactions of vehicles to them. We suggested that corrugations are (at least in part) a conseq
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**Date:** 2002-08-30
**Type:** Text
**Identifier:** tut:1636
**Description:**
When students have made some progress in studying ordinary differential equations (ODEs) during a semester, small groups are given a soccer ball and asked to determine the simplest model describing on
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