scholarly journals Closure to “Discussion of ‘The Dynamic Response of a Simple Elastic System to Antisymmetric Forcing Functions Characteristic of Airplanes in Unsymmetric Landing Impact’” (1950, ASME J. Appl. Mech., 17, p. 108)

1950 ◽  
Vol 17 (1) ◽  
pp. 108
Author(s):  
J. B. Woodson
1949 ◽  
Vol 16 (3) ◽  
pp. 310-316
Author(s):  
Joseph B. Woodson

Abstract This paper presents an analysis of the dynamic response of an undamped mechanical system with one degree of freedom subjected to disturbances which are described by antisymmetric forcing functions. The analysis was undertaken to throw light on the effect on the vibration of the wings caused by unsymmetric landing impact of an airplane. Two types of disturbances are considered; a full-sine-wave pulse, and a pulse which is the difference between two overlapping half sine waves. The results are presented in the form of dynamic-response curves and dynamic-response-factor curves. The numerically greatest dynamic-response factors, approximately 3.24 and −3.26, resulted for a full-sine-wave pulse disturbance with a ratio of duration of impact to natural period, Ti/T ≅ 1.11. When Ti/T is in the neighborhood of 1, the first positive peak of dynamic response is numerically less than the negative and positive peaks which follow it. For much of the range, the positive and negative dynamic-response factors are numerically approximately equal. The analysis was confined to values of Ti/T between 0.33 and 12. As Ti/T increases without limit, the positive and negative dynamic-response factors tend to 1 and −1, respectively.


2012 ◽  
Vol 166-169 ◽  
pp. 314-317
Author(s):  
Zhi Ping Zeng ◽  
Xue Song Wang ◽  
Wen Rong Chen ◽  
Guang Cheng Long

A train-CRTS Ⅲ slab track coupling dynamic model was proposed to study the dynamic performance of the system. Rail was modeled as space beam element. Both slab and HGT layer were modeled as plate element respectively. The vertical and lateral connections between rail, slab, HGT layer, and subgrade were modeled as spring-damper element. The vibration matrix equation of the system was established on the basis of the principle of the total potential energy with stationary value in elastic system dynamics and the rule of “set-in-right-position” for formulating system matrices. The influence of mortar elastic modulus to CRTS Ⅲ slab track vertical dynamic response was calculated when the train runs at 350 km/h. The results show that the larger of mortar elastic modulus, the faster the vibration between rail and slab decays, and the slower the vibration between slab and HGT layer decays.


Author(s):  
M. Brun ◽  
G. F. Giaccu ◽  
A. B. Movchan ◽  
N. V. Movchan

The paper addresses a mathematical model describing the dynamic response of an elongated bridge supported by elastic pillars. The elastic system is considered as a multi-structure involving subdomains of different limit dimensions connected via junction regions. Analytical formulae have been derived to estimate eigenfrequencies in the low frequency range. The analytical findings for Bloch–Floquet waves in an infinite periodic structure are compared with the finite element numerical computations for an actual bridge structure of finite length. The asymptotic estimates obtained here have also been used as a design tool in problems of asymptotic optimization.


2017 ◽  
Vol 22 (5) ◽  
pp. 582-588
Author(s):  
Wenwen Fu ◽  
Xiaoguang Zhang ◽  
Jianquan Wang ◽  
Yanhua Xiao ◽  
Yu Zhu ◽  
...  

2018 ◽  
Vol 22 (11) ◽  
pp. 4282-4292
Author(s):  
Ailan Che ◽  
Renjie Zhu ◽  
Mingjing Jiang

2004 ◽  
Vol 171 (4S) ◽  
pp. 381-381
Author(s):  
Waldemar S. Costa ◽  
Fabrício B. Carrerete ◽  
Ronaldo Damião ◽  
Marcia A. Babinski ◽  
Francisco J.B. Sampaio ◽  
...  

Author(s):  
Edward Seckel ◽  
Ian A. M. Hall ◽  
Duane T. McRuer ◽  
David H. Weir
Keyword(s):  

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