Kinematics Solution of Snake-like Manipulator Based on Improved Backbone Mode Method

The traditional approach of using free vibration modes in the assumed mode method often leads to an extremely slow convergence rate, especially when discete interactive forces are involved. By introducing a number of forced modes, significant improvements can be achieved. These forced modes are intrinsic to the structure and the spatial distribution of forces. The motion of the structure can be described exactly by these forced modes and a few free vibration modes provided that certain conditions are satisfied. The forced modes can be viewed as an extension of static modes. The development of a forced mode formulation is outlined and a numerical example is presented.

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Reduction of Harmonic Response of Cylindrical Shells

Journal of Engineering for Industry ◽

10.1115/1.3438792 ◽

1975 ◽

Vol 97 (4) ◽

pp. 1371-1377 ◽

Cited By ~ 5

Author(s):

G. B. Warburton

Keyword(s):

Cantilever Beams ◽

Steady State Response ◽

Optimum Conditions ◽

Harmonic Force ◽

Shell Surface ◽

Single Degree Of Freedom ◽

Harmonic Response ◽

State Response ◽

Single Degree ◽

Mode Method

The normal mode method is used to investigate the reduction in the steady-state response of a simply supported cylindrical shell when conventional absorbers are attached to the shell. Two types of excitation are considered: (a) a single radial harmonic force, and (b) a harmonic pressure distributed over the shell surface. The effect upon response of varying the absorber parameters is studied. Optimum conditions for specific cases are obtained and compared with those required to minimize response when absorbers are added to cantilever beams and to the classical single degree of freedom system.

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An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the Earth

Geophysical Journal International ◽

10.1111/j.1365-246x.2005.02765.x ◽

2005 ◽

Vol 163 (2) ◽

pp. 639-646 ◽

Cited By ~ 13

Author(s):

Y. Capdeville

Keyword(s):

Normal Mode ◽

Synthetic Seismograms ◽

The Earth ◽

Mode Method ◽

Normal Mode Method

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Modified Moore–Gibson–Thompson photo-thermoelastic model for a rotating semiconductor half-space subjected to a magnetic field

International Journal of Modern Physics C ◽

10.1142/s0129183121501631 ◽

2021 ◽

pp. 2150163

Author(s):

A. E. Abouelregal ◽

Hijaz Ahmad ◽

S. K. Elagan ◽

Nawal A. Alshehri

Keyword(s):

Magnetic Field ◽

Half Space ◽

Plasma Waves ◽

Angular Speed ◽

Semiconducting Materials ◽

Thermoelastic Model ◽

Mode Method ◽

Heat Transport Equation ◽

Effects Of Rotation ◽

Improved Model

This paper focuses on studying thermal, elastic and coupled plasma waves, in the sense of a photo-thermal process transport within an infinite semiconductor medium. In order to study photo-thermal interactions in two-dimensional semiconducting materials, a new mathematical model based on the Moore–Gibson–Thompson equation (MGTE) is implemented. The MGTE model involving the Green–Naghdi model of type III as well as the heat transport equation proposed by Lord and Shulman. We consider the semi-conductor half-space is rotated at a uniform angular speed and magnetized. The analysis of the distribution of thermophysical fields has been extracted by a normal mode method, represented graphically and discussed. The results predicted by the new and improved model have been compared with the generalized and classic ones. In addition, all field quantities have been examined for effects of rotation, a lifetime of the photo-generated, and the applied magnetic field.

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