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"ABSTRAKKarakteristik dinamik struktur yang berupa periode getar dan pola ragam getarsuatu struktur eksisting dapat diperoleh melalui pengolahan data monitoringvibrasi struktur tersebut.Pada penelitian ini, monitoring vibrasi dilakukan dengan menggunakan 5 buahtriaxial accelerometer yang diletakkan dengan beberapa pola pada lantaijembatan. Dengan menggunakan Transformasi Fourier didapat respons strukturdalam domain frekuensi. Dari respons spektrum ini kemudian didapat periodegetar dan pola ragam getar alami struktur. Hasil pengujian ini kemudiandibandingkan dengan hasil analisa dari pemodelan struktur yang dilakukandengan program MIDAS.Dari penelitian ini berhasil dilakukan modal extraction terhadap lima modepertama jembatan. Periode getar hasil eksperimen menunjukkan hasil yang identikdengan hasil pemodelan dimana rata-rata error adalah sebebsar 12.364%. Polaragam getar yang diperoleh dari hasil eksperimen cukup identik pula dengan hasilpemodelan. Dengan menggunakan metode Half Power Bandwidth didapat pularedaman struktur yang berkisar antara 1.757 – 5.13%.

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ABSTRACTDynamic characteristics of structure which consist of natural period of vibrationand mode shape of an existing structure can be obtained from analysis of vibrationmonitoring data of the structure.In this research, an experimental vibration monitoring field investigation ispresented. The experimental procedure involves instrumenting 5 triaxialaccelerometer that located on bridge deck in a few layout arrangements. Byimplementing Fourier Transform structure response in frequency domain isobtained. From this response spectrum natural period of vibration and mode shapeof structure can be extracted. Finite element model of the bridge using MIDASsoftware is validated against experimental results.Result shows that from experimental, modal extraction of 5 first mode of thebridge has been accomplished. Natural period based on experimental result showsidentical result compared to the modelling results with average error of 12.364%.Mode shape based on experimental result and modelling result are also identical.By implementing Half Power Bandwidth method damping ratio of bridge isranging from 1.757% to 5.13%."

"This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation.Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry."