scholarly journals RIGID AND NON-RIGID KINEMATIC EXCITATION FOR MULTIPLY-SUPPORTED SYSTEM: ONCE MORE ABOUT THE CONTRIBUTION OF DAMPING TO THE DYNAMIC LOADS IN SEISMIC ANALYSIS

Author(s):  
Alexander G. Tyapin

Development of linear equations of motion for seismic analysis is discussed in the paper. The paper continues the discussion: the author does not agree with colleagues putting damping matrix into the right-hand part of the equation of motion describing dynamic loads. This disagreement refers to the most popular case of “rigid” motion of multiple supports. In this paper the author follows the logic of general “non-rigid” support motion and points out a step in the equation development when the transition to “rigid” support motion (as a particular case of “non-rigid” motion) is spoiled by the opponents. In the author’s opinion, the mistake is in the implementation of the Rayleigh damping model for the right-hand part of the equation. This is in the contradiction with physical logic, as damping in the Rayleigh model is not really “internal”: due to the participation of mass matrix it works on rigid displacements, which is impossible for internal damping.

Author(s):  
Alexander G. Tyapin

This paper continues the discussion of linear equations of motion. The author considers non-rigid kinematic excitation for multiply-supported system leading to the deformations in quasi-static response. It turns out that in the equation of motion written down for relative displacements (relative displacements are defined as absolute displacements minus quasi-static response) the contribution of the internal damping to the load in some cases may be zero (like it was for rigid kinematical excitation). For this effect the system under consideration must have homogeneous damping. It is the often case, though not always. Zero contribution of the internal damping to the load is different in origin for rigid and non-rigid kinematic excitation: in the former case nodal loads in the quasi-static response are zero for each element; in the latter case nodal loads in elements are non-zero, but in each node they are balanced giving zero resulting nodal loads. Thus, damping in the quasi-static response does not impact relative motion, but impacts the resulting internal forces. The implementation of the Rayleigh damping model for the right-hand part of the equation leads to the error (like for rigid kinematic excitation), as damping in the Rayleigh model is not really “internal”: due to the participation of mass matrix it works on rigid displacements, which is impossible for internal damping


1989 ◽  
Vol 6 (3) ◽  
pp. 299-314 ◽  
Author(s):  
Yves Guiard

An experiment compared the ability of classical pianists to sing, during keyboard performance, the right- and the left-hand part of the score being played. Upon instructions requiring them to "sing" one or the other voice of the score, the subjects spontaneously chose to sing and name the notes simultaneously, in keeping with the French traditional way of reading music, thus producing a two- dimensional tonal and verbal vocal act in response to each visual stimulus. Singing the right-hand part of the music, whether in unison with or in place of the right hand, while concurrently playing the left-hand part was judged easy by all subjects, and performance, typically, was correct in all respects. The other task, consisting of singing the left-hand part of the music, was judged more difficult by all subjects, and performance, more often than not, was poor. Careful inspection of the many errors that were recorded in the latter task revealed a few clear-cut regularities. Failures were vocal, but not manual. More specifically, vocal failures took place on the tonal dimension of the vocal response, but not on its verbal dimension: The song, but not the naming of the notes, was prone to fail, with either a loss of the pitch, or a systematic trend toward singing unduly—albeit accurately—the notes of the right-hand part. A number of subjects were found to display this intriguing tonal/verbal dissociation—naming a note at a pitch corresponding to another note—in a continuous regime. It is emphasized that this phenomenon amounts to the spontaneous production of musical events that belong to the Stroop category.


2004 ◽  
Vol 85 (3) ◽  
pp. 593-601 ◽  
Author(s):  
Krisztina Ursu ◽  
Balázs Harrach ◽  
Katalin Matiz ◽  
Mária Benkő

2001 ◽  
Vol 18 (4) ◽  
pp. 455-489 ◽  
Author(s):  
Joel Snyder ◽  
Carol L. Krumhansl

Two experiments investigated cues to pulse finding using a relatively unconstrained, naturalistic paradigm. Participants tapped what they felt was a comfortable pulse on a keyboard playing a percussive sound. The stimulus materials were based on ragtime excerpts, played metronomically (i.e., without expressive timing or tempo variation). The first experiment, with 8 musically experienced and 8 musically inexperienced subjects, played each excerpt in two versions: a pitch-varied version (the original excerpt) and a monotonic version (with all tones changed to middle C) that was designed to remove all melodic and harmonic cues to pulse. Neither the absence of pitch information nor musical experience significantly affected performance. The second experiment tested 12 musically experienced subjects on shorter excerpts from the same ragtime pieces. Full (right-hand and left-hand parts together) and right-hand-only versions of the excerpts were each played in pitch-varied and monotonic versions. Removing the left-hand part significantly affected tapping performance on a number of measures, causing a lower percentage of tapping on the downbeat, more off-beat taps, more aperiodic taps, more switches between tapping modes, a higher variability of the intertap interval, and larger deviations from the beat. As a whole, these indicate a negative effect of removing the left-hand part. Again, differences between pitch-varied and monotonic versions were generally small. Analysis of the music revealed the following cues to pulse finding: a predictable alternating bass pattern in the left-hand part and a majority of notes on metrically strong positions in both the right-hand and left-hand parts. These results suggest that, for piano ragtime music, temporal cues are prominently available for finding and following the pulse and that pulse finding is largely independent of pitch information. Implications of the experimental measures and music-analytic techniques for models of pulse perception are considered.


2020 ◽  
pp. 004051752095739
Author(s):  
Yawen Shao ◽  
Yi Sun ◽  
Dongming Zheng ◽  
Gui Liu ◽  
Zhaoqun Du ◽  
...  

The main content of this paper is to objectively characterize the tactile comfort of fabric through the ring-shaped style tester. It mainly explains the objective tactile comfort of knitted fabric through the curve parameters measured by the ring-shaped style tester and structural parameter thickness. In this paper, by adopting the methods of correlation analysis and cluster analysis, the curve parameters, including slope in the linear segments of the left-hand part of the curve ( K1), the right-hand area of the curve ( A2), the distance between the abrupt point and the peak point ( X), the linearity of the left-hand curve ( L) and the ratio of the left-hand area to the right-hand area of the curve ( C), are used. In order to verify its effectiveness, the results of subjective evaluation are compared and analyzed with the objective clustering. The experimental results show that the subjective judgment has good correlation with the objective clustering. This indicates that the curve parameters obtained through the ring-shaped style tester and structural parameters can be used to effectively represent the tactile comfort performance of fabrics.


ChemInform ◽  
2004 ◽  
Vol 35 (44) ◽  
Author(s):  
Thomas Roelle ◽  
Reinhard W. Hoffmann
Keyword(s):  

2005 ◽  
Vol 12 (1) ◽  
pp. 25-35
Author(s):  
John A. DeRuntz Jr.

The numerical solution of underwater shock fluid – structure interaction problems using boundary element/finite element techniques became tractable through the development of the family of Doubly Asymptotic Approximations (DAA). Practical implementation of the method has relied on the so-calledaugmentationof the DAA equations. The fluid and structural systems are respectively coupled by the structural acceleration vector in the surface normal direction on the right hand side of the DAA equations, and the total pressure applied to the structural equations on its right hand side. By formally solving for the acceleration vector from the structural system and substituting it into its place in the DAA equations, the augmentation introduces a term involving the inverse of the structural mass matrix. However there exist at least two important classes of problems in which the structural mass matrix is singular. This paper develops a method to carry out the augmentation for such problems using a generalized inverse technique.


Author(s):  
Jonas Koko

We propose a MATLAB implementation of the [Formula: see text] finite element method for the numerical solutions of the Poisson problem and the linear elasticity problem in two-dimensional (2D) and three-dimensional (3D). The code consists of vectorized (and short) assembling functions for the matrices (mass and stiffness) and the right-hand sides. Since for the [Formula: see text] finite element, the element mass matrix and right-hand side are simple, the implementation uses only the MATLAB function sparse on the elements volume. For the stiffness matrix, to obtain a MATLAB implementation close to the standard form, cell-arrays are used to store the gradients of the element basis functions. The assembling procedure can then use matrix/vector products on small size cell-arrays. Numerical experiments show that our implementation is fast, scalable with respect to time, and outperforms existing vectorized MATLAB FEM codes.


1974 ◽  
Vol 62 ◽  
pp. 157-163
Author(s):  
N. I. Lobkova ◽  
M. S. Petrovskaya

In a previous paper the authors derived expansions of the derivatives of the disturbing function for the general case including the orbits close to intersection. The present paper deals especially with the case of close commensurability of the mean motions. A new variable v is introduced characterizing the deviation of the mean anomalies from the exact commensurability, and is considered further as an unknown quantity. In the equations of motion the short-period terms are eliminated. The form of expansions of the right-hand sides is chosen basing on the same principles as in the general case. The factors are separated, corresponding to the poles in the case of circular intersecting orbits. For rapidity of calculation the summation in powers of the major semi-axes ratio is made the inner one.


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