EP1329565A1 - Dynamic pendulous shock absorber - Google Patents

Dynamic pendulous shock absorber Download PDF

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Publication number
EP1329565A1
EP1329565A1 EP02290090A EP02290090A EP1329565A1 EP 1329565 A1 EP1329565 A1 EP 1329565A1 EP 02290090 A EP02290090 A EP 02290090A EP 02290090 A EP02290090 A EP 02290090A EP 1329565 A1 EP1329565 A1 EP 1329565A1
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EP
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Prior art keywords
pendulum
spring
mass
stiffness
movements
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EP02290090A
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German (de)
French (fr)
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Alain Serge Charles Lacroix
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Individual
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    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04H—BUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
    • E04H9/00—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
    • E04H9/02—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
    • E04H9/021—Bearing, supporting or connecting constructions specially adapted for such buildings
    • E04H9/0215—Bearing, supporting or connecting constructions specially adapted for such buildings involving active or passive dynamic mass damping systems

Definitions

  • the prior art consisted in effect in suspending in the structure of loads located at the right of large amplitude displacements, including low frequency movement in phase opposition braked the assembly during of external excitations (pedestrian crossing, gusts of winds ).
  • the period of simple pendulum could only be adjusted by major modifications of its length and in a narrow area.
  • the present invention offers the advantage of guaranteeing resonance frequencies very low, matched to the movement characteristics of the structure to be treated, while remaining geometrically acceptable.
  • the calculation below shows that equal natural frequency, the device of the present invention offers a height reduced by 40% compared to that of a simple pendulum system.
  • the present invention consists of a secondary mass m1 subject to a spring L1 of stiffness k on which is hung a pendulum of length L2 supporting a mass m2.
  • the spring L1 can consist of a vertical steel blade embedded at its lower end and fitted in the upper part with an articulation, of mass m2 allowing the movement of the pendulum L2.
  • the period of the complex pendulum of the present invention is easily adjustable within a wide range by modifying the stiffness k of the spring L1.
  • Figure 1 models the system.
  • the function of the spring L1, articulated in the lower part for modeling, is symbolized by a horizontal fictitious spring of stiffness k ; under these conditions, the spring L1 is articulated in the lower part.
  • Figure 2 shows the installation of two dynamic absorbers according to the present invention, installed in the deck of a walkway to limit the horizontal frolics.
  • f1k 1 4 2 k11 m2 + m1 k22 + k11 2 m2 2 - 2 k11 m2 m1 k22 + m1 2 k22 2 + 4 m2 m1 k m2 m1 ⁇

Abstract

The damper consists of a complex pendulum of reduced height, being some 40 per cent lower than a simple pendulum of the same frequency, made by raising its imaginary centre of rotation. It consists of a secondary weight (m1) connected to a spring (L1) of stiffness (k), to which a pendulum of length (L2) supporting a weight (m2) is attached. The spring (L1) can be in the form of a steel strip fixed at its lower end and equipped at its upper end with an articulated joint. The movement of the weight (m1) on its spring allows the imaginary centre of rotation about which weight (m2) is balanced to be raised, while the period of the pendulum is easily adjusted by modifying the stiffness of the spring.

Description

L'utilisation généralisée des aciers à haute limite élastique et des bétons à contraintes élevées pour la construction de passerelles ou d'ouvrages élancés confère à ceux-ci une grande souplesse. Les mouvements dynamiques autorisés par le calcul sont alors susceptibles d'en limiter le confort.Widespread use of high yield strength steels and concrete high constraints for the construction of walkways or slender structures gives them great flexibility. Dynamic movements allowed by calculation are then likely to limit their comfort.

Une solution efficace à ce constat consiste en la mise en place d'absorbeurs dynamiques, constitués de masses suspendues accordées sur les fréquences propres caractéristiques de l'ouvrage. Pour ne pas troubler l'élégance de la construction, il est nécessaire de dissimuler ces absorbeurs dynamiques à l'intérieur des structures.An effective solution to this finding consists in the installation of absorbers dynamic, made up of suspended masses tuned to frequencies own characteristics of the work. In order not to disturb the elegance of the construction it is necessary to conceal these dynamic absorbers from inside the structures.

La finesse des tabliers modernes ne permet pas toujours d'y intégrer des systèmes pendulaires simples, dont la hauteur est incompatible avec la discrétion souhaitée par l'architecte.The fineness of modern aprons does not always allow them to integrate simple pendulum systems, the height of which is incompatible with discretion desired by the architect.

La technique antérieure consistait en effet à suspendre dans la structure des charges localisées au droit des déplacements de grande amplitude, dont le mouvement basse fréquence en opposition de phase freinait l'ensemble lors d'excitations extérieures (passage de piétons, rafales de vents ...). La période du pendule simple ne pouvait être ajustée que par d'importantes modifications de sa longueur et dans un étroit domaine.The prior art consisted in effect in suspending in the structure of loads located at the right of large amplitude displacements, including low frequency movement in phase opposition braked the assembly during of external excitations (pedestrian crossing, gusts of winds ...). The period of simple pendulum could only be adjusted by major modifications of its length and in a narrow area.

La présente invention offre l'avantage de garantir des fréquences de résonance très basses, accordées aux caractéristiques du mouvement de la structure à traiter, tout en restant géométriquement acceptable. Le calcul ci-après démontre qu'à fréquence propre égale, le dispositif de la présente invention offre une hauteur réduite de 40% par rapport à celle d'un système pendulaire simple.The present invention offers the advantage of guaranteeing resonance frequencies very low, matched to the movement characteristics of the structure to be treated, while remaining geometrically acceptable. The calculation below shows that equal natural frequency, the device of the present invention offers a height reduced by 40% compared to that of a simple pendulum system.

La présente invention est constituée d'une masse secondaire m1 assujettie à un ressort L1 de raideur k sur laquelle est accroché un pendule de longueur L2 supportant une masse m2. Le ressort L1 peut être constitué d'une lame verticale en acier encastrée à son extrémité inférieure et équipée en partie supérieure d'une articulation, de masse m2 permettant le mouvement du pendule L2. The present invention consists of a secondary mass m1 subject to a spring L1 of stiffness k on which is hung a pendulum of length L2 supporting a mass m2. The spring L1 can consist of a vertical steel blade embedded at its lower end and fitted in the upper part with an articulation, of mass m2 allowing the movement of the pendulum L2.

Les mouvements de la masse m1 sur son ressort L1 accordés sur le rythme du pendule complexe L2 permettent d'élever un centre de rotation fictif autour duquel la masse m2 se balance. La fréquence obtenue est donc équivalente à celle d'un pendule simple de plus grande hauteur.The movements of the mass m1 on its spring L1 tuned to the rhythm of the complex pendulum L2 make it possible to raise a fictitious center of rotation around which the mass m2 is balanced. The frequency obtained is therefore equivalent to that of a simple pendulum of greater height.

La période du pendule complexe de la présente invention est facilement réglable dans une large fourchette par modification de la raideur k du ressort L1. The period of the complex pendulum of the present invention is easily adjustable within a wide range by modifying the stiffness k of the spring L1.

La figure 1 modélise le système. La fonction du ressort L1, articulé en partie inférieure pour la modélisation, est symbolisée par un ressort fictif horizontal de raideur k ; dans ces conditions, le ressort L1 est articulé en partie inférieure.Figure 1 models the system. The function of the spring L1, articulated in the lower part for modeling, is symbolized by a horizontal fictitious spring of stiffness k ; under these conditions, the spring L1 is articulated in the lower part.

La figure 2 représente l'installation de deux absorbeurs dynamiques conformes à la présente invention, installés dans le tablier d'une passerelle pour en limiter les ébats horizontaux. Figure 2 shows the installation of two dynamic absorbers according to the present invention, installed in the deck of a walkway to limit the horizontal frolics.

fréquence propre supérieurehigher natural frequency

f1k := 14 2 k11 m2 + m1 k22 + k11 2 m2 2 - 2 k11 m2 m1 k22 + m1 2 k22 2 + 4 m2 m1 k m2 m1 π f1k  : = 1 4 2 k11 m2 + m1 k22 + k11 2 m2 2 - 2 k11 m2 m1 k22 + m1 2 k22 2 + 4 m2 m1 k m2 m1 π

fréquence propre inférieurelower natural frequency

f2k := 14 2 k11 m2 + m1 k22 + k11 2 m2 2 - 2 k11 m2 m1 k22 + m1 2 k22 2 + 4 m2 m1 k m2 m1 π avec raideurs de substitution

Figure 00020001
k12 = - m2 g L2 k21 = - m2 g L2 k22 = m2 g L2 limite de stabilité pour l'absorbeur g (m1 + m2) L1 ≤ k f2k : = 1 4 2 k11 m2 + m1 k22 + k11 2 m2 2 - 2 k11 m2 m1 k22 + m1 2 k22 2 + 4 m2 m1 k m2 m1 π with substitution stiffnesses
Figure 00020001
k12 = - m2 g L2 k21 = - m2 g L2 k22 = m2 g L2 stability limit for the absorber g ( m1 + m2 ) L1 ≤ k

Claims (6)

Dispositif pour l'absorption dynamique des mouvements des constructions modernes réalisées en acier à haute limite élastique ou en béton fortement dosé, soumises à des excitations passagères afin d'en améliorer le confort, caractérisé en ce qu'il est constitué d'un pendule complexe de faible hauteur permettant de garantir son intégration discrète dans la structure.Device for the dynamic absorption of movements in modern constructions made of high elastic steel or highly dosed concrete, subjected to transient excitations in order to improve comfort, characterized in that it consists of a complex pendulum low height to guarantee its discreet integration into the structure. Dispositif pendulaire suivant la revendication 1) caractérisé en ce que sa hauteur, réduite de plus de 40 % par rapport à celle d'un pendule simple de même fréquence, est obtenue par le relèvement de son centre de rotation fictif.Pendulum device according to claim 1) characterized in that its height, reduced by more than 40% compared to that of a simple pendulum of the same frequency, is obtained by raising its fictitious center of rotation. Dispositif pendulaire suivant la revendication 2) caractérisé en ce que son centre de rotation fictif est obtenu par les mouvements du point d'accrochage de masse m1 du pendule L2 de masse m2, lui-même en mouvement à l'extrémité supérieure d'un ressort L1. Pendulum device according to claim 2) characterized in that its fictitious center of rotation is obtained by the movements of the attachment point of mass m1 of the pendulum L2 of mass m2 , itself in motion at the upper end of a spring L1. Dispositif pendulaire suivant la revendication 3) caractérisé en ce que la masse m1 et la raideur k du ressort L1 sont choisies de manière à ce que les mouvements du point d'accrochage du pendule L2 soient synchrones avec ceux de la masse m2. Pendulum device according to claim 3) characterized in that the mass m1 and the stiffness k of the spring L1 are chosen so that the movements of the attachment point of the pendulum L2 are synchronous with those of the mass m2. Dispositif suivant l'une quelconque des revendications précédentes caractérisé en ce que le réglage de la période du pendule complexe est possible sur un large domaine par modification de ses caractéristiques et en particuliers de la raideur k du ressort L1 constitué par exemple d'une lame d'acier encastrée en partie basse.Device according to any one of the preceding claims, characterized in that the adjustment of the period of the complex pendulum is possible over a wide range by modification of its characteristics and in particular of the stiffness k of the spring L1 consisting for example of a blade d steel embedded in the lower part. Dispositif suivant l'une quelconque des revendications précédentes caractérisé en ce que l'absorbeur dynamique ainsi constitué est protégé contre la corrosion par un zingage à chaud ou une peintures adaptée.Device according to any one of the preceding claims, characterized in that the dynamic absorber thus formed is protected against corrosion by hot galvanizing or a suitable paint.
EP02290090A 2002-01-15 2002-01-15 Dynamic pendulous shock absorber Withdrawn EP1329565A1 (en)

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6709694B1 (en) 1999-02-04 2004-03-23 3M Espe Ag Coloring ceramics by way of ionic or complex-containing solutions
GB2473698A (en) * 2009-09-19 2011-03-23 Bruce Gregory Combination of Two Pendulum Motions with Dynamic Tuning
WO2012121694A1 (en) * 2011-03-04 2012-09-13 Moog Inc. Structural damping system and method
CN107250595A (en) * 2014-12-05 2017-10-13 Esm能源及振动控制技术米奇有限公司 Adaptation pendulum-type buffer certainly with uprighting spring device

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS6231735A (en) * 1985-08-05 1987-02-10 Nippon Kokan Kk <Nkk> Two-node pendulum type vibration absorber
EP0474269A1 (en) * 1990-08-30 1992-03-11 Mitsubishi Jukogyo Kabushiki Kaisha Long period pendulum damping equipment
JPH06272427A (en) * 1993-03-24 1994-09-27 Taisei Corp Plural-mode control mass damper
JPH08226252A (en) * 1995-02-22 1996-09-03 Mitsubishi Heavy Ind Ltd Vibration control device with movable rigid mechanism for high-rise building

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS6231735A (en) * 1985-08-05 1987-02-10 Nippon Kokan Kk <Nkk> Two-node pendulum type vibration absorber
EP0474269A1 (en) * 1990-08-30 1992-03-11 Mitsubishi Jukogyo Kabushiki Kaisha Long period pendulum damping equipment
JPH06272427A (en) * 1993-03-24 1994-09-27 Taisei Corp Plural-mode control mass damper
JPH08226252A (en) * 1995-02-22 1996-09-03 Mitsubishi Heavy Ind Ltd Vibration control device with movable rigid mechanism for high-rise building

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
PATENT ABSTRACTS OF JAPAN vol. 011, no. 215 (M - 606) 11 July 1987 (1987-07-11) *
PATENT ABSTRACTS OF JAPAN vol. 018, no. 691 (M - 1731) 26 December 1994 (1994-12-26) *
PATENT ABSTRACTS OF JAPAN vol. 1997, no. 01 31 January 1997 (1997-01-31) *

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6709694B1 (en) 1999-02-04 2004-03-23 3M Espe Ag Coloring ceramics by way of ionic or complex-containing solutions
GB2473698A (en) * 2009-09-19 2011-03-23 Bruce Gregory Combination of Two Pendulum Motions with Dynamic Tuning
WO2012121694A1 (en) * 2011-03-04 2012-09-13 Moog Inc. Structural damping system and method
CN107250595A (en) * 2014-12-05 2017-10-13 Esm能源及振动控制技术米奇有限公司 Adaptation pendulum-type buffer certainly with uprighting spring device
CN107250595B (en) * 2014-12-05 2019-12-31 Esm能源及振动控制技术米奇有限公司 Self-adapting pendulum buffer with vertical spring device

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