In-plane Vibrations of Curved Bars Considering Shear Deformation and Rotatory Inertia
スポンサーリンク
概要
- 論文の詳細を見る
In this paper, the in-plane vibrations of a uniform curved bar of which the center line is a plane curve are investigated considering the bending, the extension, the shear deformation and the rotatory inertia of the bar. We obtain the Lagrangian of vibration of the curved bar in a period, and from the stationary condition of the Lagrangian, we determine the equations of vibration and the boundary conditions. As examples, we make calculations for elliptic arc bars with built-in ends and with simply supported ends, and obtain the frequencies and the mode shapes. The numerical results of the present analysis are compared with those by the classical theory and the effects of the shear deformation and the rotatory inertia are clarified.
- 一般社団法人日本機械学会の論文
著者
-
Takahashi Shin
Faculty Of Engineering Yamagata University
-
SUZUKI Katsuyoshi
Faculty of Engineering Yamagata University
関連論文
- Axisymmetric Vibrations of Thin Shells of Revolution
- Vibrations of a Cylindrical Shell with Variable Thickness Capped by a Circular Plate
- Axisymmetric Vibrations of Conical Shells with Variable Thickness
- Vibrations of Conical Shells with Variable Thickness
- Vibrations of Cylindrical Shells with Varying Thickness : Continued
- Vibrations of Cylindrical Shells with Varying Thickness
- Analysis of Vibrations of Rotating Thin Circular Cylindrical Shells
- Vibrations of Mindlin's Circular Plates with Variable Thickness
- Vibrations of Mindlin's Circular Plates with Thickness Varied along Radius
- Flexural Vibrations of a Bar with Circular Plates
- Vibration of a Combination of Circular Plates and Cylindrical Shells : 2nd Report, A Cylindrical Shell with a Circular Plate in the Intermediate Section
- Vibrations of a System Connecting Two Cylindrical Shells
- The Vibration of a Cylindrical Shell with Built-in-Free Ends
- Vibration of a Combination of Circular Plates and Cylindrical Shells : 1st Report, A Cylindrical Shell with Circular Plates at Ends
- In-Plane Vibrations of Inhomogeneous Curved Bars Having Varying Cross-Section : Series C : Vibration, Control Engineering, Engineering for Industry
- Axisymmetric Free Vibrations of Shells of Revolution Having Meridionally Varying Curvature and Thickness : Series C : Vibration, Control Engineering, Engineering for Industry
- Asymmetric Free Vibrations of Shells of Revolution Having General Meridional Curvature
- The Out-plane Impulse Response of a Curved Bar with Varying Cross-sections
- Vibrations of Conical Shells with Variable Thickness : 3rd Report, Analysis by the Higher-order Improved Theory
- Axisymmetric Free Vibrations of Shells of Revolution Having General Meridional Curvature
- Free Vibrations of Thick Toroidal Shells
- Free Vibrations of Toroidal Shells
- In-plane Impulse Response of a Curved Bar with Varying Cross-section
- Vibrations of Conical Shells with Variable Thickness : continued
- Asymmetric Vibrations of Thick Shells of Revolution
- Vibrations of a Combined System of Circular Plates and a Shell of Revolution
- Axisymmetric Vibrations of Thin Shells of Revolution
- Vibration of Shell of Revolution : Improved Theory
- Asymmetric Vibrations of Thin Shells of Revolution
- Vibrations of Noncircular Cylindrical Shells
- Out-of-plane Vibrations of Curved Bars with Varying Cross-section
- The Vibrations of a Circular Plate with Uniformly Distributed Load around the Outer Periphery
- Axisymmetric Vibrations of a Vessel with Variable Thickness
- Axisymmetric Vibrations of a Cylindrical Shell with Varying Thickness
- Free Vibrations of L-Bar : Both Ends Built-in
- The Vibration of a Cylindrical Shell with Three Supports
- Vibration of a U-bar Perpendicular to Its Plane
- In-Plane Vibrations of Elliptic Arc Bar and Sinus Curve Bar
- In-plane Vibrations of Curved Bars Considering Shear Deformation and Rotatory Inertia
- Vibrations of Elliptic Arc Bar Perpendicular to its Plane
- Vibrations of a Connecting System of Curved Bar : In-plane
- Out-plane Vibrations of Curved Bars Considering Shear Deformation and Rotatory Inertia
- In -plane Vibrations of Curved Bars with Varying Cross-section
- The Vibration of a Circular Plate with a Rigid Ring
- The Vibration of a Circular Plate with Weights or a Bar on Its Outer Boundary
- Free Lateral Vibrations of Rectangular Bars with Many Circular Holes (Continued)
- Vibration of a U-Bar in Its Plane
- The Vibration of a Square Frame Work with Legs
- Vibrations or a Connecting System of Curved Bar : Out-of-plane