Zobrazeno 1 - 10
of 195
pro vyhledávání: '"G. M. L. Gladwell"'
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2. The matrix entries are ex
Externí odkaz:
https://doaj.org/article/e0dc44a5ee8d4798a35ff7f86dce13fb
Publikováno v:
Mechanical Systems and Signal Processing. 23:1986-1999
The simplest finite element model of a membrane consists of point masses at the vertices of a network of taut strings. It is shown how the masses and the string stiffnesses may be varied continuously in such a way that the natural frequencies of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b56a2ccf71976753479aa3c89a95500
https://doi.org/10.1016/j.ymssp.2008.04.006
https://doi.org/10.1016/j.ymssp.2008.04.006
Autor:
Oscar Rojo, G. M. L. Gladwell
Publikováno v:
Linear Algebra and its Applications. 422:839-853
Let G be a simple undirected graph (no loops, no multiple edges) on n vertices. Let S n be the set of real symmetric matrices of order n. A matrix A = ( a i , j ) ∈ S n is said to be a matrix on G if a i , j = 0 whenever i ≠ j and the vertices i,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70d73996b05d8dee93b2c3961d71ccd9
https://doi.org/10.1016/j.laa.2006.12.010
https://doi.org/10.1016/j.laa.2006.12.010
Autor:
Oscar Rojo, G. M. L. Gladwell
Publikováno v:
Linear Algebra and its Applications. 421:85-96
The matrix A = ( a ij ) ∈ S n is said to lie on a strict undirected graph G if a ij = 0 ( i ≠ j ) whenever ( i , j ) is not in E ( G ) . If S is skew-symmetric, the isospectral flow A ˙ ( t ) = [ A , S ] maintains the spectrum of A . We consider
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d72d54d2268058c0da49b1cf91f52b1
https://doi.org/10.1016/j.laa.2006.03.042
https://doi.org/10.1016/j.laa.2006.03.042
Autor:
G M L Gladwell
Publikováno v:
Inverse Problems. 22:539-551
One of the fundamental inverse problems in vibration theory is to construct an in-line system of masses and springs, fixed at one end, free at the other, so that it has a specified spectrum of natural frequencies. The solution, based on the work pion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::105d817df926a008f7c9e753a268778c
https://doi.org/10.1088/0266-5611/22/2/010
https://doi.org/10.1088/0266-5611/22/2/010
Autor:
Kazem Ghanbari, G. M. L. Gladwell
Publikováno v:
Linear Algebra and its Applications. 393:197-202
If A ∈ Mn is totally positive (TP), we determine the maximum open interval I around the origin such that, if µ ∈ I ,t henA − µI is TP. If A is TP, µ ∈ I and A − µI = LU ,t henB defined by B − µI = UL is TP, and has the same total pos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05928a141b53ada4ed5a20a1e81c6133
Publikováno v:
Journal of Applied Mechanics. 70:561-567
Depending on the speed of rotation, a gyroscopic system may lose or gain stability. The paper characterizes the critical angular velocities at which a conservative gyroscopic system may change from a stable to an unstable state, and vice versa, in te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc668e6de92f637b753906c09b1616ae
https://doi.org/10.1115/1.1574062
https://doi.org/10.1115/1.1574062
Autor:
G. M. L. Gladwell, Hongmei Zhu
Publikováno v:
ZAMM. 83:275-281
The Courant-Herrmann Conjecture (CHC) concerns the sign properties of combinations of the Dirichlet eigenfunctions of elliptic pde's, the most important of which is the Helmholtz equation Δu + λρu = 0 for D ∈ R N . If the eigenvalues are ordered
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5762a487ca3fc82467d44c5b924d3f05
https://doi.org/10.1002/zamm.200310034
https://doi.org/10.1002/zamm.200310034
Autor:
G. M. L. Gladwell
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 458:2691-2703
It has long been known that two scaling factors and three spectra, corresponding to three different end conditions, are required to determine the masses, lengths and stiffnesses in a discrete model of a beam in flexural vibration. What had not been k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2df598758b2bac06ca99c8ff5e49a60
https://doi.org/10.1098/rspa.2002.0993
https://doi.org/10.1098/rspa.2002.0993
Autor:
G. M. L. Gladwell, H. Zhu
Publikováno v:
The Quarterly Journal of Mechanics and Applied Mathematics. 55:1-15
Summary Courant's nodal line theorem (CNLT) states that if the Dirichlet eigenvalues of the Helmholtz equationu + λρ u = 0 for D ∈ R m are ordered increasingly, the nodal set of the nth eigenfunction un, which consists of hypersurfaces of dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::382b20a0345d46a71f61a57a930bb399
https://doi.org/10.1093/qjmam/55.1.1
https://doi.org/10.1093/qjmam/55.1.1