The present work illustrates a dynamic nonlinear analysis of structures characterized by plan irregularity and base isolated by friction devices. Base isolation systems with friction pendulums are analysed to properly regularize the dynamic nonlinear behaviour of structures. Different isolation solutions with friction pendulums are investigated to optimize and regularize the dynamic nonlinear behaviour of structures with irregularities in plan. The nonlinear behaviour of the base-isolated structure is investigated when subject to representative dynamic events. Criteria for regularizing the dynamic behaviour of plan irregular structures are presented. The beneficial effects are illustrated for the adopted optimized isolation solution of friction pendulum system. The nonlinear behaviour of the isolation devices is determined as well as the nonlinear dynamic behaviour of the irregular in plan structure. A comparative dynamic nonlinear analysis is presented for the structure base isolated by the adopted solution of friction isolation system and the corresponding fixed base structure. In the comparative analysis, recorded accelerograms associated with dynamic events are considered and the nonlinear hysteretic cycles of isolation devices are presented, along with the time history of the base acceleration, the base shear, the base displacement and the inter-storey drifts of the structure.
NaeimFKellyJM.
Design of seismic isolated structures. New York: John Wiley, 1999.
2.
RyanKLChopraAK. Estimation of seismic demands on isolators based on nonlinear analysis. J Struct Eng2004; 130: 392–402.
3.
WenYK. Method for random vibration of hysteretic systems. J Eng Mech Div1976; 102: 249–263.
4.
MokhaASConstantinouMCReinhornAM. Teflon bearing in base isolation. I: testing. J Struct Engrg1990; 116: 240–261.
5.
RobinsonWH. Lead rubber hysteretic bearings suitable for protecting structures during earthquakes. Earthq Eng Struct Dyn1982; 10: 593–604.
6.
RobinsonWHTuckerAG. A lead-rubber shear damper. Bull N Z Soc Earthq Eng1977; 10: 151–153.
7.
CancellaraDDe, AngelisF. Assessment and dynamic nonlinear analysis of different base isolation systems for a multi-storey RC building irregular in plan. Comput Struct2017; 180: 74–88.
8.
CancellaraDDe, AngelisF. Nonlinear dynamic analysis for multi-storey RC structures with hybrid base isolation systems in presence of bi-directional ground motions. Compos Struct. 2016; 154: 464–492.
9.
CancellaraDDe, AngelisF. A base isolation system for structures subject to extreme seismic events characterized by anomalous values of intensity and frequency content. Compos Struct2016; 157: 285–302.
10.
CancellaraDDe, AngelisF. Dynamic assessment of base isolation systems for irregular in plan structures: response spectrum analysis vs nonlinear analysis. Compos Struct2019; 215: 98–115.
11.
De, AngelisFCancellaraD. Dynamic analysis and vulnerability reduction of asymmetric structures: fixed base vs base isolated system. Compos Struct2019; 219: 203–220.
12.
ASCE. Minimum design loads and associated criteria for buildings and other structures. Reston, VA: The American Society of Civil Engineers, 2017.
13.
AkiyamaH.
Earthquake-resistant design method for buildings based on energy balance. Tokyo, Japan: Reverté SA, 2002.
14.
FenzDConstantinouM. Spherical sliding isolation bearings with adaptive behavior: theory. Earthq Eng Struct Dyn2008; 37: 163–183.
15.
FenzDMConstantinouM. Development, implementation and verification of dynamic analysis models for multi-spherical sliding bearings. Report MCEER-08-0018, 2008. Buffalo, NY: Multidisciplinary Centre for Earthquake Engineering Research.
16.
Barrera-VargasCADiazIMSoriaJM, et al. Enhancing friction pendulum isolation systems using passive and semi-active dampers. Appl Sci2020; 10(16): 5621.
17.
De, DomenicoDGandelliEQuagliniV. Adaptive isolation system combining low-friction sliding pendulum bearings and SMA-based gap dampers. Eng Struct2020; 212: 110536.
18.
De, DomenicoDRicciardiGZhangR. Optimal design and seismic performance of tuned fluid inerter applied to structures with friction pendulum isolators. Soil Dyn Earthq Eng2020; 132: 106099.
19.
WilsonEL.
Three-dimensional static and dynamic analysis of structures. 3rd ed.Berkeley, CA: Computers and Structures Inc, 2002.
20.
NagarajaiahSReinhornAMConstantinouMC. 3D-basis: nonlinear dynamic analysis of three-dimensional base isolated structures: part 1. Technical report NCEER-91-0005, 1991. Buffalo, NY: National Center for Earthquake Engineering Research.
21.
NagarajaiahSReinhornAMConstantinouMC. Nonlinear dynamic analysis of three-dimensional base isolated structures (3D-BASIS): part 2. Report NCEER-91-0005, 1991. Buffalo, NY: National Center for Earthquake Engineering Research.
22.
ParkYJWenYKAngAH-S. Random vibration of hysteretic systems under bi-directional ground motions. Earthq Eng Struct Dyn1986; 14(4): 543–557.
23.
SAP2000NL structural analysis programs – theoretical and user’s manual, release no. 16.03. Berkeley, CA: Computers and Structures Inc., 2014.
24.
NewmarkNM. A method of computation for structural dynamics. J Eng Mech Div1959; 85(3): 67–94.
25.
WilsonELFarhoomandIBatheKJ. Nonlinear dynamic analysis of complex structures. Earthq Eng Struct Dyn1973; 1(3): 241–252.
26.
HughesTJR.
Finite Element Method – Linear Static and Dynamic Finite Element Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1987.
27.
CloughRWPenzienJ.
Dynamics of Structures. New York: McGraw-Hill, 1975.
28.
ChristopoulosCFiliatraultA.
Principles of Passive Supplemental Damping and Seismic Isolation. Pavia: IUSS Press, 2006.
29.
EC8. Eurocode 8: design of structures for earthquake resistance – part 1: general rules, seismic actions and rules for buildings, PrEN1998-1. Brussels: European Committee for Standardization, TC250/SC8, 2003.
30.
EC2. Eurocode 2: design of concrete structures, UNI EN 1992-1-1. Brussels: European Committee for Standardization, CEN/TC 250, 2004.
31.
LuziLLanzanoGFelicettaC, et al. Engineering strong motion database (ESM) (Version 2.0). Rome: Istituto Nazionale di Geofisica e Vulcanologia INGV, 2020. https://esm-db.eu/ (formerly http://esm.mi.ingv.it)
32.
CancellaraDDe, AngelisF. Analysis of different base isolation systems for irregular structures under dynamic loadings. In: Proceedings of the Fourteenth International Conference on Computational Structures Technology. (eds ToppingBHVKruisJ), Paper Id 87, Montpellier, France, 23–25 August 2022.
33.
NTC. 2008. Decreto Ministeriale, Nuove Norme Tecniche per le Costruzioni. Gazzetta Ufficiale n. 29 del 4 febbraio 2008 – Suppl. Ordinario n. 30, Roma, (in Italian) 2008.
34.
De, AngelisFTaylorRL. An efficient return mapping algorithm for elastoplasticity with exact closed form solution of the local constitutive problem. Engg Computation2015; 32(8): 2259–2291.
35.
De, AngelisFTaylorRL. A nonlinear finite element plasticity formulation without matrix inversions. Finite Elem Anal Des2016; 112: 11–25.
36.
De, AngelisFCancellaraD. Multifield variational principles and computational aspects in rate plasticity. Comput Struct2017; 180: 27–39.
37.
De, AngelisFCancellaraDGrassiaL, et al. The influence of loading rates on hardening effects in elasto/viscoplastic strain-hardening materials. Mech Time Depend Mater2018; 22(4): 533–551.
38.
De, AngelisF. Extended formulations of evolutive laws and constitutive relations in non-smooth plasticity and viscoplasticity. Compos Struct2018; 193: 35–41.
39.
De, AngelisF. A multifield variational formulation of viscoplasticity suitable to deal with singularities and non-smooth functions. Int J Eng Sci2022; 172(103616): 1–16.
40.
De, AngelisF. An internal variable treatment of evolutive problems in hardening plasticity and viscoplasticity with singularities. Contin Mech Thermodyn2023; 35: 1807–1819.
41.
De, AngelisFMeolaC. Non-smooth evolutive laws in multisurface elastoplasticity with experimental evidence by infrared thermography. Compos Struct2021; 265(113156): 1–9.
42.
CancellaraDDe, AngelisF. Steel braces in series with hysteretic dampers for reducing the seismic vulnerability of RC existing buildings: assessment and retrofitting with a non-linear model. Appl Mech Mater2012; 204–208: 2677–2689.
43.
CancellaraDDe, AngelisF. A nonlinear analysis for the retrofitting of a RC existing building by increasing the cross sections of the columns and accounting for the influence of the confined concrete. Appl Mech Mater2012; 204–208: 3604–3616.
44.
CancellaraDDe, CiccoSDe, AngelisF. Assessment and vulnerability reduction of under-designed existing structures: traditional vs innovative strategy. Comput Struct2019; 221: 44–64.
45.
CiallellaAPasqualiDGołaszewskiM, et al. A rate-independent internal friction to describe the hysteretic behavior of pantographic structures under cyclic loads. Mech Res Commun2021; 116: 103761.
46.
CiallellaAPasqualiDD’AnnibaleF, et al. Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: numerical modeling and experiments. Math Mech Solids2022; 27(10): 2170–2188.
47.
CiallellaAScerratoDSpagnuoloM, et al. A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics. Z Fur Angew Math Phys2022; 73(5): 209.
48.
ScerratoDGiorgioIDella, CorteA, et al. Towards the design of an enriched concrete with enhanced dissipation performances. Cem Concr Res2016; 84: 48–61.
49.
GiorgioIScerratoD. Multi-scale concrete model with rate-dependent internal friction. Eur J Environ Civ Eng2017; 21(7–8): 821–839.
50.
Murcia, TerranovaLCardilloCAretusiG. An enhanced beam model incorporating a hysteresis-based solid friction damping mechanism for cementitious materials. Contin Mech Thermodyn2025; 37(1): 2.
51.
AretusiGCardilloCTerranovaLM, et al. A dissipation model for concrete based on an enhanced Timoshenko beam. Netw Heterog Media2024; 19(2): 700–723.
52.
AretusiGCardilloCSalvatoriA, et al. A simple extension of Timoshenko beam model to describe dissipation in cementitious elements. Z Fur Angew Math Phys2024; 75(5): 166.
53.
ScrofaniAAretusiGSalvatoriA, et al. Non-linear effects in seismic waves in high-energy earthquakes: a two-dimensional analysis for non-homogeneous isotropic media with a view towards the study of the 2009 L’Aquila earthquake. Math Mech Solids. Epub ahead of print 17 April 2025. DOI: 10.1177/10812865251320071.
54.
NeaguDMFuduluIMMarinM, et al. Wave propagation with two delay times in an isotropic porous micropolar thermoelastic material. Contin Mech Thermodyn2024; 36(3): 639–655.
55.
AbouelregalAEMarinMÖchsnerA. A modified spatio-temporal nonlocal thermoelasticity theory with higher-order phase delays for a viscoelastic micropolar medium exposed to short-pulse laser excitation. Contin Mech Thermodyn2025; 37(1): 15–25.
56.
SteigmannDJ. Gradient plasticity in isotropic solids. Math Mech Solids2022; 27(10): 1896–1912.
57.
SteigmannDJ. Constitutively admissible gradients of plastic deformation in isotropic solids. Math Mech Solids. Epub ahead of print 21 March 2025. DOI: 10.1177/10812865251316769.
58.
SteigmannDJ. Constitutive sensitivity to the gradient of plastic deformation in the mechanics of crystalline solids. Contin Mech Thermodyn2025; 33(4): 1161–1169.
59.
AfsharRAlavyoonNAhlgrenA, et al. Full scale finite element modelling and analysis of the 17th-century warship Vasa: a methodological approach and preliminary results. Eng Struct2021; 231: 111765.
60.
LaudatoMManzariLGöranssonP, et al. Experimental analysis on metamaterials boundary layers by means of a pantographic structure under large deformations. Mech Res Commun2022; 125: 103990.
61.
DrobiecJNowogońskaB. Non-destructive testing of wooden elements in historic buildings-an example of testing a 19th century Roof Truss structure. Civ Environ Eng Rep2024; 34(3): 154–164.
62.
PlacidiLBarchiesiEdell’IsolaF, et al. On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure. Math Eng2022; 5(1): 1–24.
63.
PlacidiLTimofeevDMaksimovV, et al. Micro-mechano-morphology-informed continuum damage modeling with intrinsic 2nd gradient (pantographic) grain–grain interactions. Int J Solids Struct2022; 254: 111880.
64.
VolkovIAIgumnovLAdell’IsolaF, et al. A continual model of a damaged medium used for analyzing fatigue life of polycrystalline structural alloys under thermal–mechanical loading. Contin Mech Thermodyn2020; 32(1): 229–245.
