*J. N. Reddy*

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of ...
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This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities are considered, and static and transient (that is, time-dependent) responses are studied. Although there exist a number of books on nonlinear finite elements that serve as good references for engineers who are familiar with the subject and wish to learn advanced topics or the latest developments, there is currently no book that is suitable as a textbook for a first course on nonlinear finite element analysis. This book fills the void in the market, providing a clear understanding of the concepts of nonlinear finite element analyses through detailed theoretical formulations and computer implementation steps, examples and exercises, in a tutorial, user-oriented style. In addition, the book is a useful reference for industrial engineers and scientists, and serves as a prelude to more advanced books on the subject.Less

This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities are considered, and static and transient (that is, time-dependent) responses are studied. Although there exist a number of books on nonlinear finite elements that serve as good references for engineers who are familiar with the subject and wish to learn advanced topics or the latest developments, there is currently no book that is suitable as a textbook for a first course on nonlinear finite element analysis. This book fills the void in the market, providing a clear understanding of the concepts of nonlinear finite element analyses through detailed theoretical formulations and computer implementation steps, examples and exercises, in a tutorial, user-oriented style. In addition, the book is a useful reference for industrial engineers and scientists, and serves as a prelude to more advanced books on the subject.

*Robert James Matthys*

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198529712
- eISBN:
- 9780191712791
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198529712.003.0010
- Subject:
- Physics, History of Physics

This chapter describes the transient response of a pendulum to a step change in temperature and explains how to eliminate the resulting permanent time error. The permanent time error can be zeroed ...
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This chapter describes the transient response of a pendulum to a step change in temperature and explains how to eliminate the resulting permanent time error. The permanent time error can be zeroed out by a combination of moving the bob's support point to up near the top of the bob and moving the temperature compensator to a position down below the bob. The pendulum rod must have a little extra length to permit mounting the temperature compensator down below the bob. Supporting the bob at a point above the bob's center reduces the permanent time error, while supporting the bob at a point below the bob's center increases the permanent time error. Two-thirds of the permanent time error can still be eliminated just by moving the temperature compensator down to a position 2-3 inches below the bob. The spacer used to fill the compensator's former space inside the bob should be of the same material as the pendulum rod, so as not to disturb the pendulum's temperature compensation.Less

This chapter describes the transient response of a pendulum to a step change in temperature and explains how to eliminate the resulting permanent time error. The permanent time error can be zeroed out by a combination of moving the bob's support point to up near the top of the bob and moving the temperature compensator to a position down below the bob. The pendulum rod must have a little extra length to permit mounting the temperature compensator down below the bob. Supporting the bob at a point above the bob's center reduces the permanent time error, while supporting the bob at a point below the bob's center increases the permanent time error. Two-thirds of the permanent time error can still be eliminated just by moving the temperature compensator down to a position 2-3 inches below the bob. The spacer used to fill the compensator's former space inside the bob should be of the same material as the pendulum rod, so as not to disturb the pendulum's temperature compensation.

*Bruce Walsh and Michael Lynch*

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780198830870
- eISBN:
- 9780191868986
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198830870.003.0015
- Subject:
- Biology, Evolutionary Biology / Genetics, Biochemistry / Molecular Biology

In a variety of settings—additive epistasis in a diploid, dominance in an autotetraploids, shared environmental effects (such as epigenetic contributions), maternal effects, and dominance under ...
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In a variety of settings—additive epistasis in a diploid, dominance in an autotetraploids, shared environmental effects (such as epigenetic contributions), maternal effects, and dominance under inbreeding—the response in the mean has both a permanent and a transient component. The latter arises because selection perturbs the population distribution of genotypes away from their Hardy-Weinberg values. Upon the cessation of selection, any change in allele frequencies remains, but any additional changes due to departures from Hardy-Weinberg decay away. The result is that, even in the presence of these transient components, the breeder's equation often accurately predicts the amount of permanent response.Less

In a variety of settings—additive epistasis in a diploid, dominance in an autotetraploids, shared environmental effects (such as epigenetic contributions), maternal effects, and dominance under inbreeding—the response in the mean has both a permanent and a transient component. The latter arises because selection perturbs the population distribution of genotypes away from their Hardy-Weinberg values. Upon the cessation of selection, any change in allele frequencies remains, but any additional changes due to departures from Hardy-Weinberg decay away. The result is that, even in the presence of these transient components, the breeder's equation often accurately predicts the amount of permanent response.

*A. Le Bot*

- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780198729235
- eISBN:
- 9780191796173
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198729235.003.0012
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter investigates transient phenomena in sound and vibration. Sabine’s theory of reverberation is first presented, with applications in room acoustics. The extension to statistical energy ...
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This chapter investigates transient phenomena in sound and vibration. Sabine’s theory of reverberation is first presented, with applications in room acoustics. The extension to statistical energy analysis and coupled subsystems is next studied. The conditions of an exponential law for time decay and the notion of reverberation time are finally discussed.Less

This chapter investigates transient phenomena in sound and vibration. Sabine’s theory of reverberation is first presented, with applications in room acoustics. The extension to statistical energy analysis and coupled subsystems is next studied. The conditions of an exponential law for time decay and the notion of reverberation time are finally discussed.