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The invariant manifold of beam deformations (1993)

Roberts, A. J.

Springer

Journal of elasticity 30 (1993), S. 1-54

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ISSN: 1573-2681

Keywords: elastic beam theory ; subcentre invariant manifolds ; dynamical systems ; 73C02 ; 73C10 ; 35A35 ; 58G40

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics

Notes: Abstract The subcentre invariant manifold of elasticity in a thin rod may be used to give a rigorous and appealing approach to deriving one-dimensional beam theories. Here I investigate the analytically simple case of the deformations of a perfectly uniform circular rod. Many, traditionally separate, conventional approximations are derived from within this one approach. Furthermore, I show that beam theories are convergent, at least for the circular rod, and obtain an accurate estimate of the limit of their validity. The approximate evolution equations derived by this invariant manifold approach are complete with appropriate initial conditions, forcing and, in at least one case, boundary conditions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00041769

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The complete sequence of a 7·5 kb region of chromosome III from Saccharomyces cerevisiae that lies between CRY1 and MAT (1991)

Wicksteed, Barton L. ; Roberts, A. Brett ; Sagliocco, Francis A. ; [et al.]

New York, NY [u.a.] : Wiley-Blackwell

Yeast 7 (1991), S. 761-772

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ISSN: 0749-503X

Keywords: Chromosome III ; strain polymorphisms ; DNA replication ; mRNA stability ; ribosomal proteins ; Life and Medical Sciences ; Genetics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Biology

Notes: We report the sequence of a 7·5 kb region lying between the CRY1 and MAT loci of chromosome III from Saccharomyces cerevisiae. This region lies in the overlap between two major contigs used for the generation of the complete nucleotide sequence of this chromosome. Comparison of this sequence with those reported previously for this overlap [Thierry et al. (1990) Yeast 6, 521; Jia et al. (1991) Yeast 7, 413] reveals 38 nucleotide differences, 45% of which generate changes in the amino acid sequences of the four genes in this region (YCR591, YCR592, YCR521 and YCR522). These differences appear to reflect true sequence polymorphisms between the two yeast strains used to generate the clones used in the sequencing project. Three of the four genes in this region display weak homologies to proteins in the PIR database. Some properties of YCR521 are analogous to those of ribosomal protein genes. However, the functions of all four genes remain obscure.

Additional Material: 5 Ill.