TY - JOUR
N2 - The vibration and stability analysis of uniform beams supported on two-parameter elastic foundation are performed. The second foundation parameter is aâ€¯function of the total rotation of the beam. The effects of axial force, foundation stiffness parameters, transverse shear deformation and rotatory inertia are incorporated into the accurate vibration analysis. The work shows very important question of relationships between the parameters describing the beam vibration, the compressive force and the foundation parameters. For the free supported beam, the exact formulas for the natural vibration frequencies, the critical forces and the formula defining the relationship between the vibration frequency and the compressive forces are derived. For other conditions of the beam support conditional equations were received. These equations determine the dependence of the frequency of vibration of the compressive force for the assumed parameters of elastic foundation and the slenderness of the beam.
L1 - http://journals.pan.pl/Content/83976/mainfile.pdf
L2 - http://journals.pan.pl/Content/83976
PY - 2014
IS - No 4
EP - 421-440
KW - Bernoulli-Euler beam
KW - Timoshenko beam
KW - elastic foundations
KW - stability
KW - vibration
A1 - Obara, P.
PB - WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES
SP - 421-440
T1 - Vibrations and stability of bernoulli-euler and timoshenkobeams on two-parameter elastic foundation
DA - 31.12.2014
UR - http://journals.pan.pl/dlibra/publication/edition/83976
ER -