A comparison of two models for the vibration response of piled foundations to inertial and underground-railway-induced loadings

The vibration response of piled foundations due to ground-borne vibration produced by an underground railway is a largely-neglected area in the field of structural dynamics. However, this continues to be an important aspect of research as it is expected that the presence of piled foundations can have a significant influence on the propagation and transmission of the wavefield produced by the underground railway. This paper presents a comparison of two methods that can be employed in calculating the vibration response of a piled foundation: an efficient semi-analytical model, and a Boundary Element model. The semi-analytical model uses a column or an Euler beam to model the pile, and the soil is modelled as a linear, elastic continuum that has the geometry of a thick-walled cylinder with an infinite outer radius and an inner radius equal to the radius of the pile. The boundary element model uses a constant-element BEM formulation for the halfspace, and a rectangular discretisation of the circular pile-soil interface. The piles are modelled as Timoshenko beams. Pile-soil-pile interactions are inherently accounted for in the BEM equations, whereas in the semi-analytical model these are quantified using the superposition of interaction factors. Both models use the method of joining subsystems to incorporate the incident wavefield generated by the underground railway into the pile model. Results are computed for a single pile subject to an inertial loading, pile-soil-pile interactions, and a pile group subjected to excitation from an underground railway. The two models are compared in terms of accuracy, computation time, versatility and applicability, and guidelines for future vibration prediction models involving piled foundations are proposed.

Report of the Committee to whom was Referred the Correspondence between Mr. Monroe and Mr. Canning, and between Mr. Madison and Mr. Rose, relative to the attacked of Chesapeake : and also a communication from the President of the United States of the 30 March last, with a letter from Mr. Erskine to the Secretary of State, and a letter from M. Champagny to Gen. Armstrong.--

April 16, 1808. Printed by Order of the Senate.

Buffalo, Brantford & Goderich Railway, County of Welland account book, 1853

The Buffalo and Brantford Railway Company was formed in 1850. The railway was renamed the Buffalo, Brantford & Goderich Railway in 1852 to reflect the plans to extend the line to Goderich. Financial problems led to a British group taking over the railway a few years later and the name was changed to the Buffalo & Lake Huron Railway. It was June 1858 before the line to Goderich was completed. Source: (http://brantford.library.on.ca/genealogy/railways.php#buffalo) March 8, 2010

The Garden of Canada: Niagara, St. Catharines, and Toronto Railway (1909)

Descriptions and photos of places to visit in Niagara, St. Catharines, and Toronto, including the railway services that connect them.

Erie & Niagara Railway Collection, 1864-1884

William Alexander Thomson (1816-1878) was a promoter and developer of railway systems in western Ontario. He incorporated the Fort Erie Railroad Company in 1857, purchased the Erie and Ontario Railroad in 1863, and incorporated the Erie and Niagara Extension Railway Company in 1868 (later renamed the Canada Southern Railway). Thomson was also elected to the House of Commons for Welland in 1872, and re-elected in 1874. He was known for his support of public management of the currency and is seen as a pioneer advocate of government monetary policy. He was also an advocate of radical agrarian economic doctrine, believing that Canadian laws favoured mercantile interests over those of the producers of goods, and that this hindered national development.

Letters Patent Incorporating The Ontario Grape Growing and Wine Manufacturing Company

The patent incorporates the Ontario Grape Growing and Wine Manufacturing Company for the purpose "for the manufacture of wine within the province of Ontario" and is recorded as no. 85 on June 9, 1873.

Letter to George Rykert (president of the Port Dalhousie and Thorold Railway), engineer from William Danforth, civil engineer

Letter to George Rykert (president of the Port Dalhousie and Thorold Railway), engineer from William Danforth, civil engineer in which he states that the preliminary survey has been made between Port Dalhousie and Centreville at which point it may intersect with the Great Western Railway. The estimate is included (2 pages, handwritten), July 25, 1853.

Notice that the Port Dalhousie and Thorold Railway map and plans have been certified by commissioners

Notice that the Port Dalhousie and Thorold Railway map and plans have been certified by commissioners. This is signed “secretary”, n.d.

Calculations regarding quantities needed for cutting and ditching

Calculations regarding quantities needed for cutting and ditching (1 page, handwritten), March 19, 1884.

Estimated cost of the Port Dalhousie and Thorold Railway sent to George Rykert by S.D. Woodruff

Estimated cost of the Port Dalhousie and Thorold Railway sent to George Rykert by S.D. Woodruff, Aug. 5, 1854.

Letter sent from the Port Dalhousie and Thorold Railway to the Town Council of St. Catharines

Letter sent from the Port Dalhousie and Thorold Railway to the Town Council of St. Catharines which states that the estimate that was submitted does not embrace the damages done to the buildings along Line no. 1 from Port Dalhousie to Chisholm Corner. The estimates are included in the document, Aug. 17, 1854.

Memorandum of expenses for work done and materials provided by Messrs. Brown and McDonell

Memorandum of expenses for work done and materials provided by Messrs. Brown and McDonell, contractors for the Port Dalhousie and Thorold Railway to Sept. 1, 1854, signed by S.D. Woodruff, Sept. 2, 1854.

Estimate of work done on the Port Dalhousie and Thorold Railway by Messrs. Brown and McDonell

Estimate of work done on the Port Dalhousie and Thorold Railway by Messrs. Brown and McDonell, contractors, on sections 1, 2, and 3 ending at St. Catharines during the month ending Sept. 30, 1854.

Memorandum of material furnished for superstructure on the line of the Port Dalhousie Thorold Railway by contract

Memorandum of material furnished for superstructure on the line of the Port Dalhousie Thorold Railway by contract. This document includes: Bills of timber, memorandums of planking, fencing, ties, track laying, masonry and bolts and spikes. There are also diagrams of culverts. One of the pages is loose and the outer pages are somewhat discoloured (32 pages, handwritten and bound with ribbon, n.d.

Memorandum respecting differences between the approximate and the final estimate

Memorandum respecting differences between the approximate and the final estimate (3 ¼ pages, handwritten), n.d.