Abstract
Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix
Highlights
Sandwich beams are used extensively in a variety of industries due to their unique features such as high strength-to-weight ratio, good buckling resistance, high specific stiffness, formability into complex shapes, and easy reparability
By applying the finite element and dynamic stiffness methods, the free vibration analysis of a sandwich beam with symmetric face layers was reviewed by Khalili et al [13]
Assuming the face layers to behave like Euler–Bernoulli beams while only shear deformation occurs in the core, by employing the Hamilton principle, the differential equations of motion of a symmetric curved sandwich beam are formulated and applied to obtain the dynamic stiffness matrix for this beam
Summary
Sandwich beams are used extensively in a variety of industries due to their unique features such as high strength-to-weight ratio, good buckling resistance, high specific stiffness, formability into complex shapes, and easy reparability. Hashemi and Adique [10] used the dynamic finite element method to study the free vibration of sandwich beams with symmetric face layers by applying the method of weighted residuals to develop the governing equations They assumed that the face layers follow the Euler–Bernoulli theory, whereas the core undergoes shear deformation only. By applying the finite element and dynamic stiffness methods, the free vibration analysis of a sandwich beam with symmetric face layers was reviewed by Khalili et al [13] Their results revealed that irrespective of the boundary condition type, when the core-to-face density ratio increases, the first natural frequency decreases, whereas this frequency increases when the shear modulus of the core and the face-to-core thickness ratio increase. To calculate the natural frequencies of explanatory examples taken from the literature, the Wittrick–Williams [24] algorithm is used
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
