Sentence examples for by the classical beam from inspiring English sources
This paper presents a method to include the effect into vibration modal results obtained by the classical beam theories.
The vibration frequency predicted by the modified couple stress theory is larger than that by the classical beam theory.
It is found that the deflections of the microbeam by the classical beam theory are always larger than those by the modified couple stress theory.
Numerical results show that the present beam model can capture the scale effects of microstructure, and the deflections and stresses of the present model of couple stress beam are smaller than that by the classical beam mode.
It is found that by increasing the thickness of nanobeams, the postbuckling equilibrium path obtained by the developed non-classical beam model tends to the one predicted by the classical beam theory and this anticipation is the same for all selected boundary conditions.
Also it is demonstrated that the normalized dynamic deflections obtained by using the classical beam theory are smaller than those obtained by the nonlocal beam theory.
By applying the classical beam theory, Kim and Cho [100] rearranged the formula to estimate the continuous deflection profile by using strains measured directly from several points equipped with the fiber Bragg sensor.
The adopted model also can degenerate to the beam model based on the modified couple stress theory (MCST) or the classical beam theory (CBT) by setting two or all material length scale parameters to be zero.
Circumferential normal stress distribution has been determined considering the classical beam theory, and radial and shear stresses have been predicted by using the Airy's stress function.
The classical beam theory, first-order and higher-order shear deformation theories are employed to consider beams of various classical and non-classical boundary conditions.
Flexural wave propagations are analyzed using the Timoshenko beam, the classical beam, and the shear beam theories.
