Global bounded weak solutions for an abstract nonlinear Timoshenko beam equation with four propagation speeds

APR Abramson, H. N.; Plass, H. J.; Ripperger, E. A. Stress wave propagation in rods and beams Advances in Appl. Mech. 5 1958 111-194 MR0093188 Cache/Ab/Abramson,propagation,Advances*,1958,1959

AE Aprahamian, R.; Evensen, D. A. J. Appl. Mech.-Trans. ASME June 1970 287-291 title-booktitle is not found. cgiQueryMR.fname is not set

A Arosio, A. Global weak solutions for abstract nonlinear evolution equations of hyperbolic type Quad. Dip. Mat. Univ. Parma 50 1990 Data is not found in MathSci. Cache/Ar/Arosio,hyperbolic,Quad*,1990,1991

APP-1 Arosio, A.; Panizzi, S.; Paoli, M. G., Inhomogeneous Timoshenko beam equations, Math. Meth. Appl. Sci. (to appear) MR1193157 APP-2 Arosio, A.; Panizzi, S.; Paoli, M. G., Temporally inhomogeneous Timoshenko beam equations, Ann. Mat. Pura Appl. (to appear) MR1219591 CHU Cremer, ; Heekl, ; Ungar, Structure borne sound Springer, Berlin Data is not found in MathSci. Cache/Cr/Cremer,Structure,*,1988,1998

D Deng, Y. Exponential uniform stabilization of cantilevered Timoshenko beam with a tip body via boundary feedback control 5th Symposium on Control of distributed parameter systems, Perpignan 1989 Data is not found in MathSci. Cache/De/Deng,stabilization,*,1989,1990

IK Ito, K.; Kunimatsu, N. Boundary control of the Timoshenko beam with viscous internal dampings 5th Symposium on Control of distributed parameter systems, Perpignan 1989 Data is not found in MathSci. Cache/It/Ito,Timoshenko,*,1989,1990

KR Kim, J. U.; Renardy, Y. Boundary control of the Timoshenko beam SIAM J. Control Optim. 25 1987 1417-1429 MR0912448 100 Cache/Ki/Kim,Timoshenko,SIAM*,1987,1988

K Kolsky, H. Stress waves in solids, ch.3 Oxford Univ. Press, London 1953 Data is not found in MathSci. Cache/Ko/Kolsky,solids,,*,1953,1954

Ko Komornik, V. Controlabilité exacte en temps minimal de quelques modèles de placques C. R.Acad. Paris, Sér. I Math. I Math 307 1988 471-474 MR0964109 80 Cache/Ko/Komornik,*,C*,1988,1989

Kr Kranys, M. Casual theories of evolution and wave propagation in mathematical physics ASME J. Appl. Mech. 42 1989 305-321 MR1021554 Cache/Kr/Kranys,mathematical,ASME*,1989,1990

LL Lagnese, J.; Lions, J. L. Modelling, analysis and control of thin plates Masson, Paris 1988 MR0953313 100 Cache/La/Lagnese,Modelling,,*,1988,1989 vi+177 L Lions, J. L. Quelques méthodes de rèsolution des problèmes aux limites non linéaires Dunod & Gauthier Villars, Paris 1969 MR0259693 100 Cache/Li/Lions,Quelques,*,1969,1970 xx+554

M Mindlin, R. D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates J. Appl. Mech. 18 1951 31-38 Data is not found in MathSci. Cache/Mi/Mindlin,isotropic,,J*,1951,1952

NS Nicholson, J. W.; Simmonds, J. G. Timoshenko beam theory is not always more accurate than elementary beam theory J. Appl. Mech.-Trans. ASME 44 1977 337-338. See also discussion by van der Heijden, A., Koiter, W. T., Reissner, E., Levine, H. S., same J., 357-359, and by Christensen, R. N., Schmidt, R., Levinson, M., Leko, T., same J., 797-799 Data is not found in MathSci. Cache/Ni/Nicholson,Timoshenko,J*,1977,1978

P Panizzi, S. Abstract nonlinear Timoshenko beam equation Rend. Sem. Mat. Univ. Padova 86 1991 193-205 MR1154108 100 Cache/Pa/Panizzi,Timoshenko,Rend*,1991,1992

Pa Paoli, M. G., Il problema di Cauchy per l'equazione $(\square_{a}\square_{b}+a\square_{c})u=0$ da un punto di vista astratto, Tesi di Laurea, Univ. Pisa, a.a. 1987/88

R Russell, D. L. Mathematical models for the elastic beam and their control-theoretic implications Semigroups, theory and applications, Vol. II, H. Brezis, M. G. Crandall & F. Kappel eds., Longman, Harlow 1986 177-216 MR0879308 Cache/Ru/Russell,control-theoretic,*,1986,1987

S Sattinger, D. H. On global solutions of nonlinear hyperbolic equations Arch. Rat. Mech. Anal. 30 1968 148-172 MR0227616 100 Cache/Sa/Sattinger,hyperbolic,Arch*,1968,1969

Sc Schmidt, J., Entwurf von reglern zur aktiven schwingungdampfung an flexiblen mechanischen strukturen, Dissertation von Diplom-Ingenieur, Darmstadt (1987)

T Timoshenko, S. On the correction for shear of the differential equation for transverse vibrations of prismatic bars Philosophical Magazine 41 1921 744-746 Data is not found in MathSci. Cache/Ti/Timoshenko,correction,Philosophical*,1921,1922

TC Traill-Nash, R. W.; Collar, A. R. The effects of shear flexibility and rotatory inertia on the bending vibrations of beams Quart. J. Mech. Appl. Math. 6 1953 186-222 MR0066205 100 Cache/Tr/Traill-Nash,flexibility,Quart*,1953,1954

U Uflyand, Ya. S. The propagation of waves in the transverse vibrations of bar and plates Akad. Nauk SSSR Prikl. Mat. i Meh. 12 1948 287-300 (in russo) MR0025969 91 Cache/Uf/Uflyand,propagation,Akad*,1948,1949

W Washizu, K. Variational methods in elasticity and plasticity Pergamon, London 1968 MR0391679 100 Cache/Wa/Washizu,Variational,*,1968,1969 x+349