Vol.3, No 11, 2001 pp.179-184
UDC 531.36:539.374:624.072/.073(045)
STABILITY OF THE FREELY SUPPORTED
RECTANGULAR PLATE STRENGTHENED WITH THE TRANSVERZAL PROPPING IN THE PLASTIC
RANGE
Mile Maksić
Faculty of Mechnical Engineering, University of Niš, YU
Abstract. Rectangular plate is loaded
by uniformly distributed forces of pressure in the mid-surface. It is freely
supported on all four sides and strengthened with one arbitrarily set transversal
propping. Stability of the plate is considered under the assumption that
under even distribution of pressure (Nv) it buckles in the direction Ox
into (m) sinusoidal half-waves.
In this composition frequency equation
is determined for real roots of the characheristic differential plate equation.
STABILNOST
SLOBODNO OSLONJENE PRAVOUGAONE PLOČE OJAČANE POPREČNIM UKRUĆENJEM
U PLASTIČNOJ
OBLASTI
Pravougaona ploča je opterećena ravnomerno raspoređenim silama pritiska
u srednjoj površini. Slobodno je oslonjena na sve četiri strane i ojačana
jednim proizvoljno postavljenim poprečnim ukrućenjem. Razmatra se stabilnost
ploče pod pretpostavkom da se pod dejstvom ravnomerno raspoređenog pritiska
(Ny) izvija u pravcu Ox u (m) sinusoidalnih polutalasa.
U ovom radu se određuje frekventna jednačina za realne korene karakteristične
diferencijalne jednačine ploče.
