Some Interaction Effects in a Problem of Plastic Beam Dynamics—Part 2: Analysis of a Structure as a System of One Degree of Freedom

1967 ◽  
Vol 34 (3) ◽  
pp. 631-637 ◽  
Author(s):  
Taijiro Nonaka
Keyword(s):  
Impact Loading ◽  
Theoretical Study ◽  
Permanent Deformation ◽  
Rate Sensitivity ◽  
Elastic Vibration ◽  
Degree Of Freedom ◽  
Beam Dynamics ◽  
Transverse Impact ◽  
Concentrated Mass ◽  
Load Duration

A theoretical study is made of the permanent deformation of a clamped beam with constraints against axial displacements at the ends. The beam carries a concentrated mass at its center and is subjected to large transverse impact loading at the mass. The analysis is based on the assumption of one degree of freedom and takes account of the interaction between bending and extension, of strain-rate sensitivity, of elastic vibration, and of load duration, in an approximate manner.

Some Interaction Effects in a Problem of Plastic Beam Dynamics—Part 3: Experimental Study

1967 ◽  
Vol 34 (3) ◽  
pp. 638-643 ◽  
Author(s):  
Taijiro Nonaka
Keyword(s):  
Experimental Study ◽  
Permanent Deformation ◽  
Blast Loading ◽  
Interaction Effects ◽  
Experimental Results ◽  
Beam Dynamics ◽  
Concentrated Mass ◽  
Central Mass ◽  
Theoretical Predictions ◽  
Clamped Beams

An experimental study is made of the permanent deformation of clamped beams with and without constraints against axial displacements at the ends. The beams carry a concentrated mass at the center and are subjected to blast loading at the central mass. Experimental results are compared with the theoretical predictions developed in earlier papers, Parts 1 and 2, and show general agreement.

Some Interaction Effects in a Problem of Plastic Beam Dynamics—Part 1: Interaction Analysis of a Rigid, Perfectly Plastic Beam

1967 ◽  
Vol 34 (3) ◽  
pp. 623-630 ◽  
Author(s):  
Taijiro Nonaka
Keyword(s):  
Interaction Analysis ◽  
Permanent Deformation ◽  
Impulsive Loading ◽  
Beam Dynamics ◽  
Bending Moments ◽  
Concentrated Mass ◽  
Rigid Plastic ◽  
Perfectly Plastic ◽  
Axial Forces ◽  
Combined Action

An analysis is presented to determine the permanent deformation of a rigid-plastic clamped beam with constraints against axial displacements at the ends. The beam carries a concentrated mass at its center and is subjected to large transverse impulsive loading at the mass. Plastic interaction is considered for the combined action of bending moments, axial forces, and shearing forces, based on a fixed yield surface.

Impact on Beams

1936 ◽  
Vol 3 (2) ◽  
pp. A55-A61
Author(s):  
H. L. Mason
Keyword(s):  
Historical Development ◽  
Contact Region ◽  
Local Deformation ◽  
Lateral Vibration ◽  
Transverse Impact ◽  
Concentrated Mass ◽  
Impact Theory ◽  
Inelastic Impact ◽  
Maximum Contact

Abstract This paper deals with transverse impact on beams the mass of which is of importance. Experimental results are presented for comparison with theory. Impacts which appear single to the eye are shown to consist in reality of several blows in quick succession. Section 1 of the paper traces the historical development of this subject by discussing the investigations of Young, Hodgkinson, Cox, Saint Venant, and Timoshenko. Section 2 treats a simplified system in which a concentrated mass strikes a smaller concentrated mass having a “soft” spring restraint. For elastic impact, theory predicts for the struck mass a path composed of sinusoidal elements separated by instantaneous blows. For inelastic impact it predicts a joint harmonic motion. Records of the paths of both masses were obtained experimentally. Section 3 of the paper uses Timoshenko’s method of combining local deformation of the contact region with lateral vibration of the beam. An experimental investigation of maximum contact pressure and of blow duration gives what is believed to be the first confirmation of this theory. Section 4 describes an experimental determination of flexural stresses in elastic and inelastic impact on a 3-in. I-beam by the use of a Westinghouse magnetic strain gage. The indication is that stresses may be higher than those calculated by the usual approximations.

A Convenient Way of Taking Wing (and Fuselage) Flexibility into Account in Calculating Undercarriage Loads

1968 ◽  
Vol 72 (688) ◽  
pp. 353-355
Author(s):  
D. Williams
Keyword(s):  
Dynamic System ◽  
Ab Initio ◽  
Normal Modes ◽  
Degree Of Freedom ◽  
Concentrated Mass ◽  
Natural Approach ◽  
Non Linear ◽  
Lumped Masses

The crudest way of taking account of the airframe superstructure in calculating undercarriage performance is to represent it by a single concentrated mass. Crude as this method is, it is often used by aircraft firms because the only alternative known to them, apparently, is something they hesitate to face. And no wonder, because it means having to represent the wing-fuselage system by a large number of lumped masses and springs, each of which means an extra degree of freedom. This complicated dynamic system has then to be integrated with the undercarriage system, itself complicated by its non-linear characteristics. The natural approach that suggests itself is not to consider the w/f (wing-fuselage) structure ab initio but to make use of its (usually known) normal modes and frequencies. But this is just what cannot be done by existing techniques—hence the present impasse.

Finite element method failure analysis of a pressurized FRP cylinder under transverse impact loading

2008 ◽  
Vol 46 (7-9) ◽  
pp. 898-904 ◽  
Author(s):  
Tomonori Kaneko ◽  
Sadayuki Ujihashi ◽  
Hidetoshi Yomoda ◽  
Shusuke Inagi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Failure Analysis ◽  
Impact Loading ◽  
Transverse Impact ◽  
Element Method
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