Author: Peter Hagedorn
Publisher: Springer Science & Business Media
ISBN: 3642829066
Category : Science
Languages : en
Pages : 159
Book Description
Vibrations and Impedances of Rectangular Plates with Free Boundaries
Author: Peter Hagedorn
Publisher: Springer Science & Business Media
ISBN: 3642829066
Category : Science
Languages : en
Pages : 159
Book Description
Publisher: Springer Science & Business Media
ISBN: 3642829066
Category : Science
Languages : en
Pages : 159
Book Description
Vibrations and impedances of rectangular plates with free boundaries
Vibration of Plates
Author: Arthur W. Leissa
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 380
Book Description
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 380
Book Description
Vibration of Plates
Author: Snehashish Chakraverty
Publisher: CRC Press
ISBN: 1000687376
Category : Science
Languages : en
Pages : 301
Book Description
Plates are integral parts of most engineering structures and their vibration analysis is required for safe design. Vibration of Plates provides a comprehensive, self-contained introduction to vibration theory and analysis of two-dimensional plates. Reflecting the author's more than 15 years of original research on plate vibration, this book present
Publisher: CRC Press
ISBN: 1000687376
Category : Science
Languages : en
Pages : 301
Book Description
Plates are integral parts of most engineering structures and their vibration analysis is required for safe design. Vibration of Plates provides a comprehensive, self-contained introduction to vibration theory and analysis of two-dimensional plates. Reflecting the author's more than 15 years of original research on plate vibration, this book present
Free Vibration and Buckling Analysis of Thin Rectangular Plates with Classical Boundary Conditions Under Unilateral In-plane Loads
Author: David J. Michelussi
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Interest in the free vibration of thin rectangular plates has emerged due to the rapid growth in computer technology. Delicate electronic components mounted on circuit boards may be placed in environments under dynamic loadings. The designer may need to control the natural frequency or mode shape of a specific board if a known excitation is causing reliability problems in the hardware. Fortunately, constant in-plane loads can be applied to the plate, affecting its stiffness, and hence dynamic characteristics. This method of control is convenient since the circuit board does not need to be redesigned. The method of superposition is used to obtain analytical-type solutions for the free vibration of thin rectangular plates under constant in-plane loads in this thesis. A total of nine plate configurations are examined, each of which possess at least one free edge. Eight building blocks are derived and used to solve the plates under consideration. Each building block solution is of the Levy-type and is analytically exact. Since plate buckling is a limiting case of plate vibration, the solutions obtained can also be used to solve plate buckling problems. Results are calculated for nine plate aspect ratios. Buckling loads, frequencies, and mode shapes are shown. Excellent agreement is found in comparisons with other solution methods.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Interest in the free vibration of thin rectangular plates has emerged due to the rapid growth in computer technology. Delicate electronic components mounted on circuit boards may be placed in environments under dynamic loadings. The designer may need to control the natural frequency or mode shape of a specific board if a known excitation is causing reliability problems in the hardware. Fortunately, constant in-plane loads can be applied to the plate, affecting its stiffness, and hence dynamic characteristics. This method of control is convenient since the circuit board does not need to be redesigned. The method of superposition is used to obtain analytical-type solutions for the free vibration of thin rectangular plates under constant in-plane loads in this thesis. A total of nine plate configurations are examined, each of which possess at least one free edge. Eight building blocks are derived and used to solve the plates under consideration. Each building block solution is of the Levy-type and is analytically exact. Since plate buckling is a limiting case of plate vibration, the solutions obtained can also be used to solve plate buckling problems. Results are calculated for nine plate aspect ratios. Buckling loads, frequencies, and mode shapes are shown. Excellent agreement is found in comparisons with other solution methods.
Free Vibration of Two Span Rectangular Plates with Non Classical Boundary Conditions
Author: Setiawan, Budi
Publisher: c1975.
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 170
Book Description
Publisher: c1975.
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 170
Book Description
Free Vibration of Rectangular Plates with a Small Initial Curvature
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722408596
Category :
Languages : en
Pages : 54
Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722408596
Category :
Languages : en
Pages : 54
Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
Free Vibration Analysis of Rectangular Plates with Internal Point Supports
Author: Hans J. L. Öhman
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 258
Book Description
Publisher:
ISBN:
Category : Plates (Engineering)
Languages : en
Pages : 258
Book Description
Effect of Edge Loadings on the Vibration of Rectangular Plates with Various Boundary Conditions
Author: George E. Weeks
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 46
Book Description
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 46
Book Description
Vibration and stability of rectangular plates with mixed boundary conditions
Author: Bernhard Stahl
Publisher:
ISBN:
Category : Buckling (Mechanics).
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Buckling (Mechanics).
Languages : en
Pages :
Book Description