An analytical technique for the seismic response assessment of slender bridge piers

E. Tubaldi, L. Tassotti, A. Dall'Asta, L. Dezi

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

This work proposes an analytical technique for the analysis of the effects of axial loads on the dynamic behaviour and seismic response of tall and slender bridge piers. The pier is modeled as a linear elastic Euler-Bernoulli cantilever beam with uniformly distributed mass, representing the pier mass, and a tip mass at the free end, representing the deck mass. The beam is subjected to the reaction due to deck loads, and to the pier self weight. The seismic problem is described by a linear partial differential equation of seismic motion with variable coefficients. This equation is decoupled by using the exact vibration modes which are obtained by applying the Frobenius method. By this way, the seismic response can be evaluated in terms of superposition of modal contributions. The proposed formulation is applied to the seismic analysis of a realistic slender bridge pier. The results of the study permit to shed light on the effect of axial load on the various vibration modes that contribute to the seismic response and to evaluate the suitability of amplification factors commonly used by seismic codes to account for axial load effects.

Conference

Conference4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
Abbreviated titleCOMPDYN 2013
CountryGreece
CityKos
Period12/06/1313/06/13

Fingerprint

Bridge piers
Axial loads
pier
Seismic response
seismic response
analytical method
Piers
Cantilever beams
vibration
Vibrations (mechanical)
Partial differential equations
Amplification
amplification
effect

Keywords

  • analytical models
  • axial loads
  • bridge piers
  • civil engineering
  • computational methods
  • engineering geology
  • partial differential equations
  • structural dynamics
  • dynamic behaviours
  • earthquake engineering
  • linear partial differential equations
  • load effects
  • seismic problems
  • variable coefficients
  • vibration
  • amplification factors
  • seismic response

Cite this

Tubaldi, E., Tassotti, L., Dall'Asta, A., & Dezi, L. (2013). An analytical technique for the seismic response assessment of slender bridge piers. 4079-4094. Paper presented at 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece.
Tubaldi, E. ; Tassotti, L. ; Dall'Asta, A. ; Dezi, L. / An analytical technique for the seismic response assessment of slender bridge piers. Paper presented at 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece.16 p.
@conference{4eb198758909425098a011c6a926032e,
title = "An analytical technique for the seismic response assessment of slender bridge piers",
abstract = "This work proposes an analytical technique for the analysis of the effects of axial loads on the dynamic behaviour and seismic response of tall and slender bridge piers. The pier is modeled as a linear elastic Euler-Bernoulli cantilever beam with uniformly distributed mass, representing the pier mass, and a tip mass at the free end, representing the deck mass. The beam is subjected to the reaction due to deck loads, and to the pier self weight. The seismic problem is described by a linear partial differential equation of seismic motion with variable coefficients. This equation is decoupled by using the exact vibration modes which are obtained by applying the Frobenius method. By this way, the seismic response can be evaluated in terms of superposition of modal contributions. The proposed formulation is applied to the seismic analysis of a realistic slender bridge pier. The results of the study permit to shed light on the effect of axial load on the various vibration modes that contribute to the seismic response and to evaluate the suitability of amplification factors commonly used by seismic codes to account for axial load effects.",
keywords = "analytical models, axial loads, bridge piers, civil engineering, computational methods, engineering geology, partial differential equations, structural dynamics, dynamic behaviours, earthquake engineering, linear partial differential equations, load effects, seismic problems, variable coefficients, vibration, amplification factors, seismic response",
author = "E. Tubaldi and L. Tassotti and A. Dall'Asta and L. Dezi",
note = "cited By 1; 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013 ; Conference date: 12-06-2013 Through 13-06-2013",
year = "2013",
month = "6",
day = "14",
language = "English",
pages = "4079--4094",

}

Tubaldi, E, Tassotti, L, Dall'Asta, A & Dezi, L 2013, 'An analytical technique for the seismic response assessment of slender bridge piers' Paper presented at 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece, 12/06/13 - 13/06/13, pp. 4079-4094.

An analytical technique for the seismic response assessment of slender bridge piers. / Tubaldi, E.; Tassotti, L.; Dall'Asta, A.; Dezi, L.

2013. 4079-4094 Paper presented at 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece.

Research output: Contribution to conferencePaper

TY - CONF

T1 - An analytical technique for the seismic response assessment of slender bridge piers

AU - Tubaldi, E.

AU - Tassotti, L.

AU - Dall'Asta, A.

AU - Dezi, L.

N1 - cited By 1

PY - 2013/6/14

Y1 - 2013/6/14

N2 - This work proposes an analytical technique for the analysis of the effects of axial loads on the dynamic behaviour and seismic response of tall and slender bridge piers. The pier is modeled as a linear elastic Euler-Bernoulli cantilever beam with uniformly distributed mass, representing the pier mass, and a tip mass at the free end, representing the deck mass. The beam is subjected to the reaction due to deck loads, and to the pier self weight. The seismic problem is described by a linear partial differential equation of seismic motion with variable coefficients. This equation is decoupled by using the exact vibration modes which are obtained by applying the Frobenius method. By this way, the seismic response can be evaluated in terms of superposition of modal contributions. The proposed formulation is applied to the seismic analysis of a realistic slender bridge pier. The results of the study permit to shed light on the effect of axial load on the various vibration modes that contribute to the seismic response and to evaluate the suitability of amplification factors commonly used by seismic codes to account for axial load effects.

AB - This work proposes an analytical technique for the analysis of the effects of axial loads on the dynamic behaviour and seismic response of tall and slender bridge piers. The pier is modeled as a linear elastic Euler-Bernoulli cantilever beam with uniformly distributed mass, representing the pier mass, and a tip mass at the free end, representing the deck mass. The beam is subjected to the reaction due to deck loads, and to the pier self weight. The seismic problem is described by a linear partial differential equation of seismic motion with variable coefficients. This equation is decoupled by using the exact vibration modes which are obtained by applying the Frobenius method. By this way, the seismic response can be evaluated in terms of superposition of modal contributions. The proposed formulation is applied to the seismic analysis of a realistic slender bridge pier. The results of the study permit to shed light on the effect of axial load on the various vibration modes that contribute to the seismic response and to evaluate the suitability of amplification factors commonly used by seismic codes to account for axial load effects.

KW - analytical models

KW - axial loads

KW - bridge piers

KW - civil engineering

KW - computational methods

KW - engineering geology

KW - partial differential equations

KW - structural dynamics

KW - dynamic behaviours

KW - earthquake engineering

KW - linear partial differential equations

KW - load effects

KW - seismic problems

KW - variable coefficients

KW - vibration

KW - amplification factors

KW - seismic response

UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84898949440&partnerID=40&md5=a5af0da05be275daffc4ce2c2dc0e744

M3 - Paper

SP - 4079

EP - 4094

ER -

Tubaldi E, Tassotti L, Dall'Asta A, Dezi L. An analytical technique for the seismic response assessment of slender bridge piers. 2013. Paper presented at 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos, Greece.