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Effect of the B stiffness submatrix on the free oscillation of thin-walled plates made of a general laminate
 
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1
Department of Strength of Materials (K-12), Lodz University of Technology (TUL), ul. Stefanowskiego 1/15, 90-924 Lodz, Poland
 
2
Department of Applied Mechanics, Faculty of Mechanical Engineering, Lublin University of Technology (LUT), ul. Nadbystrzycka 36, 20-618 Lublin, Poland
 
 
Corresponding author
Andrzej Teter   

Department of Applied Mechanics, Faculty of Mechanical Engineering, Lublin University of Technology (LUT), ul. Nadbystrzycka 36, 20-618 Lublin, Poland
 
 
 
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ABSTRACT
ABSTRACT This study investigates natural frequencies of simply supported thin-walled rectangular plates made of laminates with arbitrary stacking sequences. A detailed analysis is made of laminates whose stacking sequences meet the non-zero condition for coupling stiffness submatrix B components. Twelve laminate stacking sequences exhibiting different types of in-plane and out-plane coupling effects are selected, assuming that the plies are of the same thickness. A comparison is made between the effects of selected components of the coupling stiffness submatrix B and inertial force components on the natural frequencies of the rectangular laminate plates under consideration. Classical laminate plate theory (CLPT) is used in the considerations. Obtained solutions of the eigenproblems for the cases of unloaded rectangular plates made of a general laminate show that the correct determination of eigenvalues requires a detailed analysis of all B stiffness matrix components and beam model reduction factors.
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