Free Vibrations of L-Bar : Both Ends Built-in
スポンサーリンク
概要
- 論文の詳細を見る
The free vibrations of a bar bent to L-type (both ends built-in) are discussed. The method used is to minimize Lagrangian which is expressed in terms of the unknown functions and the known and unknown boundary values which describe the vibrations. In the case when there are lateral, twisting and longitudinal vibrations at the same time, the vibratory functions are obtained in general forms, and Lagrangian is expressed in terms of the boundary values. Using the known boundary conditions and the conditions of continuity, Lagrangian is expressed in terms of unknown constants. Then, Lagrangian is again minimized about the unknown constants and these constants and the frequency equations are obtained. In the case of an L-bar, the frequency equations of both vibrations in the plane of L-bar and perpendicular to that plane are obtained and the numerical calculations are carried out, and the comparison with the contents of papers already published is made.
- 一般社団法人日本機械学会の論文
著者
-
Takahashi Shin
Faculty Of Engineering Yamagata University
-
Takahashi S.
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
- Physicochemical Properties of Sago Starch Compared with Various Commercial Starches
- The Cooking and Processing Properties of Japanese Traditional Confectionery made of Sago Starch - Effect of Addition of Trehalose and Silk Fibroin on Physical Properties -
- 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
- Utility of Stem Diameter Changes as Indicators for Suitable Irrigation Scheduling in Arid Zone
- 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
- Vibrations of Rectangular Frame Works
- Vibration of a Circular Arc Bar in its Plane : Both Ends Built-in