Matrix Techniques for Determination of Fundamental Mode Shape and Frequency Parameter of Torsional Oscillations in Engines

1962 ◽  
Vol 4 (2) ◽  
pp. 156-165 ◽  
Author(s):  
K. N. Gupta
Keyword(s):  
Mode Shape ◽  
Fundamental Mode ◽  
Frequency Parameter ◽  
Torsional Oscillations

Two-Node Mode Shape and Frequency Parameter of Torsional Oscillations in Engines

1967 ◽  
Vol 9 (5) ◽  
pp. 393-401
Author(s):  
K. N. Gupta
Keyword(s):  
Mode Shape ◽  
Digital Computer ◽  
Close Agreement ◽  
Frequency Parameter ◽  
Moments Of Inertia ◽  
Torsional Oscillations ◽  
Engine Systems

An attempt is made to evolve some charts which should directly read the two-node frequency parameter and mode shape of engine systems having four to eight cylinders with equal moments of inertia per cylinder line and equal shaft stiffnesses between the cylinder centres. The dynamic matrices for these systems are iterated upon in a digital computer to obtain the two-node frequency parameter for different ratios of inertia per cylinder line to flywheel inertia and crankthrow stiffness to stiffness of shaft between last cylinder and flywheel. The value of the frequency parameter is further used to evaluate relative amplitudes. The results indicated by the charts are in close agreement with the exact values.

XVII.—On a Fuller Test of the Law of Torsional Oscillation

1914 ◽  
Vol 33 ◽  
pp. 177-182
Author(s):  
James B. Ritchie
Keyword(s):  
Torsional Oscillation ◽  
Torsional Oscillations ◽  
The Law ◽  
Image Position

It has been shown in a former paper that an equation of the formcan be applied to give close representation of results in the determination of the law of decrease of torsional oscillations of wires of different materials, when the range of oscillation is large in comparison with the palpable limits of elasticity.

scholarly journals Dynamic Modal Analysis of Vertical Machining Centre Components

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Anayet U. Patwari ◽  
Waleed F. Faris ◽  
A. K. M. Nurul Amin ◽  
S. K. Loh
Keyword(s):  
Modal Analysis ◽  
Mode Shape ◽  
Modal Testing ◽  
Machine Component ◽  
Vibration Modes ◽  
Structural Dynamic ◽  
Element Simulation ◽  
Analysis Technique ◽  
Design Software

The paper presents a systematic procedure and details of the use of experimental and analytical modal analysis technique for structural dynamic evaluation processes of a vertical machining centre. The main results deal with assessment of the mode shape of the different components of the vertical machining centre. The simplified experimental modal analysis of different components of milling machine was carried out. This model of the different machine tool's structure is made by design software and analyzed by finite element simulation using ABAQUS software to extract the different theoretical mode shape of the components. The model is evaluated and corrected with experimental results by modal testing of the machine components in which the natural frequencies and the shape of vibration modes are analyzed. The analysis resulted in determination of the direction of the maximal compliance of a particular machine component.

scholarly journals A 10-MHz FREE-FREE BEAM MICROMECHANICAL RESONATOR FABRICATION PROCESS USING SURFACE-MICROMACHINED TECHNOLOGY

2022 ◽  
Vol 36 (06) ◽  
Author(s):  
TAN-LOC NGUYEN
Keyword(s):  
Mode Shape ◽  
Fundamental Mode ◽  
Layout Design ◽  
Fabrication Process ◽  
Q Value ◽  
Standard Process ◽  
Mems Resonator ◽  
Second Mode ◽  
Motional Resistance ◽  
Free Beam

The fabrication process for the designed MEMS resonator using surface-micromachined technology is presented in this paper. A 10-MHz Free-Free beam MEMS resonator is designed to vibrate in the second-mode shape, which is significant improvement compare to the fundamental mode. The design showed a Q value as high as 75,000, which is significant improvement compared to 8,400 VHF F-F beam MEMS resonator by K. Wang; and very low motional resistance (18kΩ). The surface-micromachined technology is used as the standard process for the design. The process is briefly described from the layout design to the experimental fabricated device.

A Simple Approach for Estimating the Fundamental Mode Shape of Layered Soil Profiles

2019 ◽  
Vol 13 (01) ◽  
pp. 1950003
Author(s):  
Haizhong Zhang ◽  
Yan-Gang Zhao
Keyword(s):  
Mode Shape ◽  
Fundamental Mode ◽  
Close Agreement ◽  
Site Response ◽  
Vertical Direction ◽  
Simple Approach ◽  
Layered Soil ◽  
Soil Profiles ◽  
Seismic Code ◽  
Response Parameter

The fundamental mode shape of layered soil profiles is a key site response parameter, it has been adopted into the Japanese seismic code to represent the shape of the soil displacement response along the vertical direction. In this study, a simple approach for estimating the fundamental mode shape of layered soil profiles is developed. The proposed approach can directly model the fundamental mode shape and can be conveniently implemented using arithmetic operations, thus making it suitable to be used by the engineers. The assessments of the proposed approach using a series of layered soil profiles demonstrate that it can produce results in close agreement with the actual results.

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